Question

Please help and please provide the steps to solve this! Thanks

Answer 1

slope = m = (y2 - y1)/(x2 - x1)

(y2 - y1)/(x2 - x1) = m

(-1 - 1)/(-1 - x) = 2/7

-2/(-1 - x) = 2/7

2/(x + 1) = 2/7

1/(x + 1) = 1/7

x + 1 = 7

x = 6

Answer: x = 6

Answer 2

The formula of a slope:

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

We have the points (-1, -1), (x, 1) and the slope m = 2/7. Substitute:

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

$\dfrac{2}{x+1}=\dfrac{2}{7}$     cross multiply

$2(x+1)=(2)(7)$      use distributive property

$2x+2=14$      subtract 2 from both sides

$2x=12$        divide both sides by 2

$x=6$

Answer: x = 6