Question

Write an equation of a line that passes through (-2,3) and (0,8)

Answer 1

The slope-intercept form:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}-slope\\\\b-y-intercept\ (0,\ b)$

We have the points (-2, 3) and (0, 8) → b = 8. Substitute:

$m=\dfrac{8-3}{0-(-2)}=\dfrac{5}{2}=2.5\\\\y=2.5x+8$