Question

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Answer 1

The slope-point form:

$y-y_1=m(x-x_1)$

The formula of a slope:

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

We have the points (7, -8) and (-4, 6). Substitute:

$m=\dfrac{6-(-8)}{-4-7}=\dfrac{14}{-11}=-\dfrac{14}{11}\\\\y-6=-\dfrac{14}{11}(x-(-4))\\\\\boxed{y-6=-\dfrac{14}{11}(x+4)}$