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Which of the following are point-slope equations of the line going through (-3, 4) and (2, 1)? Check all that apply.

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1 Answer

Hi Maria;
Slope is change-of-y divided by change-of-x.
m=(y-y1)/(x-x1)
(-3, 4) and (2, 1)
m=(4-1)/(-3-2)
m=3/-5
m=-3/5

Point-slope formula is...
y-y1=m(x-x1)
We will apply one point. Let's begin with (-3, 4)...
y-4=(-3/5)(x--3)
y-4=(-3/5)(x+3)
B. y - 4 = - 3/5(x + 3)

Second point, (2, 1)...
y-1=(-3/5)(x-2)
A. y - 1 = - 3/5(x - 2)