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never [62]
3 years ago
15

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

The point-slope form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -1) and (5, 7). Substitute:

m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\\boxed{y-7=\dfrac{8}{9}(x-5)}


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