Question

Write an equation in point slope form and slope intercept form for each line passes through (8,-4). Slope =1/2

Answer 1

Part 1

The equation in point-slope form is

y-y1=m(x-x1)

we have

point (8,-4)

m=1/2

substitute

`y+4=(1)/(2)(x-8)`

Part 2

The equation in slope-intercept form

y=mx+b

we have

y+4=(1/2)(x-8)

isolate the variable y

so

y+4=(1/2)x-(1/2)(8)

y+4=(1/2)x-4

y=(1/2)x-8