Question

Write the point-slope form of an equation for a line that passes through (-7, 1) and (-3, 9).

Answer 1

Answer:

$\boxed {y - 1 = 2 (x + 7)}$

Step-by-step explanation:

First use the Slope Formula to determine the slope of two points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(Where $(x_{1}, y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Apply the two following points for the formula:

$(x_{1}, y_{1}) = (-7, 1)$

$(x_{2}, y_{2}) = (-3, 9)$

$m = \frac{9 - 1}{-3 + 7}$

-Solve:

$m = \frac{9 - 1}{-3 + 7}$

$m = \frac{8}{4}$

$m = 2$

After you have found the slope, use the slope $2$ and the first point $(-7, 1)$ for the Point-Slope Formula:

$y - y_{1} = m (x - x_{1})$

-Apply them for the formula:

Slope = $2$

First point = $(-7, 1)$

$\boxed {y - 1 = 2 (x + 7)}$