Answer:
y+2=1/2(x-8) or y+4=1/2(x-4)
Explanation:
Okay, so point slope form is y-y1=m(x-x1). So you substitute y1 with -2 or 8 and x1 with 8 or 4.
Slope is (-2-(-4))/(8-4), which is 2/4, or 1/2. Plug that into m.
y+2 = 1/2(x-8)
We need to find the slope
m = (y2-y1)/(x2-x1)
= (-4--2)/(4-8)
= (-4+2)/(-4)
= -2/-4
= 1/2
We know the slope and we know a point, so we can use point slope form
y-y1 = m(x-x1)
y--2 = 1/2(x-8)
If we had used the other point
y--4 = 1/2(x-4)
y+4 = 1/2(x-4)
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