Question

What is the slope of the line that passes through the points left bracket, 2, comma, 9, right bracket(2,9) and left bracket, 18, comma, minus, 3, right bracket(18,−3)? Write your answer in simplest form.

Answer 1

The slope is found using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Given (x1, y1) = (2, 9) and (x2, y2) = (18, -3):

m = (-3 - 9) / (18 - 2)
m = -12 / 16
m = -3/4

Therefore, the slope of the line that passes through the points (2, 9) and (18, -3) is -3/4.