Write the equation of the line described below in slope intercept form.

Question

Parallel to 5x+2y=9 passing through (2,-3)

Answer 1

1. First, rewrite the equation in slope-intercept form to find the slope.

 

5x + 2y = 9

2y = -5x + 9

y = -5/2x + 9/2

 

The slope is -5/2, and slopes of parallel lines are the same, so the new slope will be the same.

 

2. Use the slope and point to find the y-intercept of the new equation.

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

2 = b

 

3. Write the new equation with the slope and y-intercept.

 

y = -5/2x + 2