Question

Which is not an equation of the line going through (3, 6) and (1, –2)?

A. y = 4x – 6

B. y – 6 = 4(x – 3)

C. y + 2 = 4(x – 1)

D. y – 2 = 4(x + 1)

Answer 1

To solve this, find your slope-intercept equation, then convert to point-slope. y=mx+b, m=(y2-y1)/(x2-x1)=(6+2)/(3-1)=4, y=4x+b, b=y-4x=6-4(3)=-6, y=4x-6. This eliminates A. Next, convert to point-slope, y-y1=m(x-x1), This gives you y-y1=4(x-x1). Using your two points, you can get y-6=4(x-3) and y+2=4(x-1) as possible equations, which eliminates B and C, meaning your answer is D.

Answer 2

answer is D. y – 2 = 4(x + 1)

not an equation of the line going through (3, 6) and (1, –2)?
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