Question

Write the equation of the line that goes through the point (8,-2) and
has a slope of -4. (1 point)


Is the answer y=-4x-32

Thanks.

Answer 1

Almost, but not quite.

The -2 on the left hand side has been omitted, and -32 should have been 32.

Point (x1,y1)=(8,-2)
Slope, m = (-4)

(y-y1)=m(x-x1)
y-(-2)=(-4)(x-8)
y+2=-4x-4(-8)
y=-4x+32-2
<b>y=-4x+30</b>
Check:
-2=-4(8)+30
-2=-2 OK