Question

Q # 14 please . .Write the slope-intercept of the equation for the line

Answer 1

You can see that this line passe through the points (-4,-2) and (4,3).

The slope of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$\dfrac{y_2-y_1}{x_2-x_1}.$

Thus, the slope is

$\dfrac{3-(-2)}{4-(-4)}=\dfrac{5}{8}.$

Then the equation of the line is

$y-3=\dfrac{5}{8}(x-4),\\\\y=\dfrac{5}{8}x+\dfrac{1}{2}.$

Answer: correct choice is C.