Question

1. find the slope of the line that passes through (-4, 4) and (11, 7)

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign coordinates

Let $(x_1,y_1)=(-4,4)$ and $(x_2,y_2)=(11,7)$

Step3: Substitute values into formula

$m=\frac{7-4}{11-(-4)}=\frac{3}{11+4}$

Step4: Simplify the denominator

$m=\frac{3}{15}$

Step5: Reduce the fraction

$m=\frac{1}{5}$

Answer:

$\frac{1}{5}$