Find the equation of the line passing through the

Ответ:

dolphinfan321

10.03.2022

The slope-intercept form of a line:

y=mx+b

m - slope

b - y-intercept.

The formula of a slope:

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

We have the points (-1, -2) and (-2, 7). Substitute:

$m=\dfrac{7-(-2)}{-2-(-1)}=\dfrac{9}{-1}=-9$

Therefore we have y=-9x+b .

Put the coordinates of the point (-1, -2) to the equation of a line:

-2=(-9)(-1)+b

-2=9+b subtract 9 from both sides

$-11=b\to b=-11$

y = -9x - 11

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