Question

The point-slope form of the equation of the line that passes through (-9,-2) and (1,3) is y what is the slope intercept form of the equation for this line

Answer 1

Explanation:

Required equation is y = 1/2x + 5/2

Answer 2

Find the slope using:
m = y2-y1/x2-x1
m = 3--2/1--9
m = 5/10
m = 1/2

Choose a point and plug into point-slope:
y-y1=m(x-x1)
y-3=1/2(x -1)

Switch this to slope-intercept form y=mx+b:
Distribute by 1/2 first.
y-3=1/2x -1/2

Add 3 to both sides (find common denominators):

y=1/2x +5/2

That's the equation of the line in slope-intercept form!