What is the slope of the line that passes through the points left bracket, 7, comma, minus, 9, right bracket(7,−9) and left bracket, 6, comma, minus, 11, right bracket(6,−11)? Write your answer in simplest form.
To find the slope of the line that passes through the two points (7, -9) and (6, -11), we use the slope formula:
slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
Given point 1 is (7, -9) where x1 = 7 and y1 = -9, and point 2 is (6, -11) where x2 = 6 and y2 = -11, we plug these into the formula:
m = (-11 - (-9)) / (6 - 7)
m = (-11 + 9) / (6 - 7)
m = (-2) / (-1)
When we simplify the fraction, we get:
m = 2
So, the slope of the line that passes through the points (7, -9) and (6, -11) is 2.