Find the equation whose graph is shown below. Write your answer in standard form. (Standard form is Ax + By = c, where A is positive, and A, B, and C are integers with greatest common divisor 1.)

Guest Feb 6, 2022

#1**0 **

First, you will need to pick two points from the graph and label one of them (x_{1}, y_{1}) and the other (x_{2}, y_{2})

If you choose the point (0, 3) to be (x_{1}, y_{1}), then x_{1} = 0 and y_{1} = 3

If you choose the point (1, 5) to be (x_{2}, y_{2}), then x_{2} = 1 and y_{2} = 5.

Second, use these values in the slope equation: m = ( y_{2 }- y_{1 }) / ( x_{2} - x_{1} ) to find the slope of the line.

Third, note that the y-intercept occurs at (0, 3), so you now know the value of b (the y-intercept).

Use the slope-intercept form of a line: y = mx + b to get an equation for the line.

Last, rearrange this equation to place it into standard form.

geno3141 Feb 6, 2022