Question

Consider line AB, which contains points A(−2,7) and B(1,5).

Answer 1

Answer:

-2/3 and y-5 = -2/3(x-1)

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-2,7) and (1,5). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-5}{-2-1}= \frac{2}{-3}$

Substitute m = -2/3 and the point (1,5) into the point slope form.

$y - y_1 = m(x-x_1)\\y -5 = -\frac{2}{3}(x-1)$