Question

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

Answer 1

I can slve for the slpe intercept form
y=mx+b
m=slope
b=y itnercept

slope=(y1-y2)/(x1-x2)
we have
(-9,-2)
(1,3)

(x,y)
x1=-9
y1=-2
x2=1
y2=3
subsitute
slope=(-2-3)/(-9-1)=-5/-10=5/10=1/2

slope=1/2
y=1/2x+b
solve for by by inputing a point
(1,3)
x=1, y=3 is a possible solution
3=1/2(1)+b
3=1/2+b
subtract 1/2
2 and 1/2=b=5/2
b=5/2

equatin is
y=1/2x+5/2