Question

Find the slope of the line that goes through the points (2,-6) and (11,15).Slope,m=___Enter your answer as an integer or a reduced fraction in the form A/B

Answer 1

m = 7/3

Step-by-step explanation:

The slope of a line that passes through two points (x1, y1) and (x2, y2) can be calculated as

`m=(y_2-y_1)/(x_2-x_1)`

So, replacing (x1, y1) = (2, -6) and (x2, y2) = (11, 15), we get:

`m=(15-(-6))/(11-2)=(15+6)/(9)=(21)/(9)=(7)/(3)`

Therefore, the slope is 7/3