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bazaltina [42]
3 years ago
11

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=89(x+4) y+4=98(x+1)

y−1=89(x−4) y+1=87(x+4)
Mathematics
1 answer:
maria [59]3 years ago
4 0

The point-slope formula:

y-y_1=m(x-x_1)\\\\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}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\\boxed{y+1=\dfrac{8}{9}(x+4)}

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