How does the value of x determine the value of y in the equation y=4x+1?


In the equation y=4x+1, y is a dependent variable where x is an independent variable. Value of x determines value of y. For each value of x, there will be a value of y. Just put various values for x to get respective y values.
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The exponent of each term in the equation is
The graphical way is probably the simplest. Draw a graph of the equation. Hold a ruler parallel to the y axis and slide it from left to right. If, at any point, the ruler touches
If you graph these, you can use the vertical line test to determine a function that assigns one and only one y value in the range. to every x value in the domain.
To solve this equation for y I would suggest that you add1 to both sides and then factorise the resulting quadratic in y. You will get If you now square root both sides you get so
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The equation x + y = 9 does not define y as a function of x. If the equation were written y= 9-x, it would be expressing y as a function of x. ...