Question

What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)?

Answer 1

$y=mx+b\\\\ m=\dfrac{y_2-y_1}{x_2-x_1}\\ m=\dfrac{9-1}{2-3}\\ m=\dfrac{8}{-1}\\ m=-8\\\\ 1=-8\cdot3+b\\ 1=-24+b\\ b=25\\\\ \boxed{y=-8x+25}$