is b the y-intercept
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8th Grade Math: Unit 4: Slope & Y-Intercept The point where the graph of a function crosses the x-axis or y-axis. y-intercept. The point where the graph crosses the y-axis. In a linear equation of the form y=mx+b. The y-intercept is the constant b. constant of proportionality. The constant ratio between two quantities. EX: 1/4, 2/8, 3/26.
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Writing & Evaluating Real-Life Linear Models: Process & Examples You can use slope-intercept form, which is y = mx + b, to write equations for linear models. m is the slope or rate-of-change, and b is the y-intercept. Often, the y-intercept represents the starting point of the equation.
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Intercept form of a quadratic equation: Intercept form of a quadratic equation: The intercept form of a quadratic equation is as follows: `y = a(x-p)(x-q)`. It is thus very useful to convert a quadratic equation to its intercept form in order to get the value of its two x-intercepts. Meaning of the various symbols in the intercept form of a quadratic equation:
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- If the x-intercepts are (-3,0) and (4,0), we know that the roots (zeros) of the equation will be x = -3 and x = 4. Working backward, we can create the factors (x + 3) and. (x - 4) and get the equation y = (x + 3)(x - 4). BUT...
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What does each variable stand for in this equation? Report Abuse. well y=mx+b is slope intercept form of a line. I dont see how these two equations are remotely similar. Also, in the slope intercept form, y=mx+b, m is equal to the slope. y2-y1/x2-x1 are the coordinates that you use to figure out the slope. B stands for the y-intercept.
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FIRST-DEGREE EQUATIONS AND INEQUALITIES IN TWO VARIABLES Then y = 2x – 5, and, from the slope-intercept form of y = mx + b, I can see that: the slope is m = 2 and the y-intercept is b = –5. 1  Find the slope and y-intercept of the line with equation x – 2y = 5.hen y = 2x – 5, and, from the slope-intercept form of y = mx + b, I can see that: the slope is m = 2 and the y-intercept is b = –5. 1  Find the slope and y-intercept of the line with equation x – 2y = 5.
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The Meaning of Slope and y-Intercept in the Context of Word Problems In the equation of a straight line (when the equation is written as  y = mx + b ), the slope is the number  m  that is multiplied on the x, and  b  is the y-intercept, where the line crosses the y-axis.hen x = 0, the corresponding y-value is the y-intercept. In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value; that is, the value when you started taking your reading or started counting the time and its changes.
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- The b-value tells you where the line crosses the y-axis. The slope, m, tells you the rise over the run. If you need help graphing lines, see Graphing Linear Equations. Find the intersection point (where the lines cross).
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regression equation Generally, a regression equation takes the form of Y=a+bx+c, where Y is the dependent variable that the equation tries to predict, X is the independent variable that is being used to predict Y, a is the Y-intercept of the line, and c is a value called the regression residual.
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Linear Regression Calculator - Statistics English A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.The slope of the line is b, and a is the intercept (the value of y when x = 0). linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.
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- 1 Find the x-intercepts and vertex of y = x2 + 2x  4.  To find the vertex, I look at the coefficients: a = 1 and b = 2. The vertex is below the x-axis, and, since this is a negative quadratic, I know that the parabola is going to be upside-down.
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- Slope(b) : y-Intercept(a) : Regression Equation(y): Code to add this calci to your website. Just copy and paste the below code to your webpage where you want to display this calculator. Regression Equation(y) = a + bx Slope(b) = (NσXY - (σX)(σY)) / (NσX2 - (σX)2) Intercept(a) = (σY-b(σX)) / N Where,
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- The portion of the equation denoted by a + b X i defines a line. The symbol X represents the independent variable. The symbol a represents the Y intercept, that is, the value that Y takes when X is zero. The symbol b describes the slope of a line.
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- slope = climb = monte = m My guess is that whatever the b stands for, it has something to do with the French language. I know this is an obscure question, but any help you can offer would be greatly appreciated. Brian C. Date: 10/16/2003 at 13:08:28 From: Doctor Peterson Subject: Re: In y = mx + b, why b? Hi, Brian.
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Linear Regression In summary, if y = mx + b, then m is the slope and b is the y-intercept (i.e., the value of y when x = 0). Often linear equations are written in standard form with integer coefficients (Ax + By = C). Such relationships must be converted into slope-intercept form (y = mx + b) for easy use on the graphing calculator.
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The equation and graph of a straight line: Section 2 The x-and y-intercepts of a graph. The x-intercept of a graph is that value of x where the graph crosses the x-axis. The y-intercept is the value of y where it crosses the y-axis. To find the x-intercept, we have to find the value of x where y = 0 -- because at every point on the x-axis, y = 0.o find the y-intercept of a graph, we must find the value of y when x = 0 -- because at every point on the y-axis, x = 0. But when the equation has the form. y = ax + b,
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Y-Intercept of A Line The Y-Intercept of a line is the point where a line 's graph intersects (crosses) the Y-axis. 1  A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0,3). 2  A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).he Y-Intercept of a line is the point where a line 's graph intersects (crosses) the Y-axis. 1  A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0,3). 2  A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).
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- y=x+4 is the equation of a line in slope intercept form. This tells us 4 is the y intercept.   The point (0,4) is actually the point where the line intersects the y axis. … To find where it intersects the x axis just let y=0. The means x=-4 is the x intercept.
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Graphing Linear Equations In Fig 1, find a line through the point E that is perpendicular to CD. The point E is on the y-axis and so is the y-intercept of the desired line. Once we know the slope of the line, we can express it using its equation in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.
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- The equation y = mx + b algebraically describes a straight line for a set of data with one independent variable where x is the independent variable, y is the dependent variable, m represents the slope of the line, and b represents the y-intercept.
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- In the equation of a straight line (when the equation is written as y = mx + b), the slope is the number m that is multiplied on the x, and b is the y-intercept, where the line crosses the y-axis. This useful form of the line equation is sensibly named the slope-intercept form.
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- y = a x b. If we take the logarithm of both sides of this equation (any logarithm will do) and use the laws of logarithms (see the section on algebraic representations of logarithms), we get. log(y) = log(a) + b log(x) Now consider a new data set showing Y = log(y) vs. X = log(x) .
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- Why b for Intercept? Date: 10/16/2003 at 12:07:04 From: Brian Subject: In y = mx + b, why b? In the slope-intercept formula y = mx + b Why is the letter b used to represent the y-intercept? It may be helpful to know that in class we established the reason for m representing the slope of the line. A famous French mathematician, Rene Decartes, invented the x-y plane. The French word meaning to climb is monte.
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- Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax 2 + bx + c).
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Notes to instructors Conclusion: The equation y = m x + b, where m and b are constants, is the equation of a straight line. m is called the slope and b is called the y intercept.This form of the equation is called the slope-intercept form. There are other possible forms; click here to see them.he equation of a straight line. y = m x + b, 1  Each row of the table gives a point on the graph. 2  One of the rows says that when x = 0 then y = b. 3  Thus the point (0, b) is a point on the graph. 4  Because this point lies on the y axis, the number b is called the y intercept.
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Non-Compete Payments for Sale of Business Will Be Taxed As Ordinary Income (Muskat v. United States) About one-quarter of that was paid up front. Muskat filed his 1998 tax return and listed the payment as ordinary income, paying income and self-employment taxes accordingly. However, he had a change of heart and filed an amended return for 1998, seeking to recharacterize the income as a capital gain. Because of the lower rate for capital gains income, he sought a tax refund of $203,434. After the Internal Revenue Service denied the request, Muskat filed suit. The First Circuit affirmed the trial court's judgment in favor of the United States.