Question

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.)

Answer 1

2x -3y = -3

Explanation:

The equation in the slope intercept of a line would be

y = 2/3x + 1

The slope is 2/3. If you select a point, you need to go up 2 and right 3 to get back onto the line.

The y-intercept is 1. That is where the graph crosses the y axis.

multiply all the way through by 3 to clear the fractions

3y = 2x + 3 Subtract 3y from both sides

0 = 2x - 3y + 3 Subtract 3 from both sides

-3 = 2x -3y

or

2x - 3y = -3