KaranBurzlaff
36

# What is the slope of the line passing through the points (1, –5) and (4, 1)?

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\ m=\dfrac{1-(-5)}{4-1}\\ m=\dfrac{6}{3}\\ m=2$
The formula for slope (the steepness of a line, it's also called the rate of change) is $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$. This means that the y value in the second point (1) minus the y value in the first point (-5) divided by the x value in the second point (4) minus the x value in the first point (1) will get you the slope. Now we can figure it out: $m(slope)= \frac{1-(-5)}{4-1} \\ m= \frac{6}{3} \\ m=2$ The slope is 2.