Question

Enter the equation of the line in slope-intercept form.

Slope is -2/5, and (-9,2) is on the line.

Answer 1

y = (-2/5)x - 8/5

Explanation:

Start with the slope-intercept form y = mx + b.

Replace m with -2/5, y with 2 and x with -9:

2 = (-2/5)(-9) + b

Simplifying this, we get:

2 = 18/5 + b, or 10/5 = 18/5 + b

Subtracting 18/5 from both sides yields b = -8/5, and so

the desired equation is

y = (-2/5)x - 8/5