Question

what is the slope of the line that goes through points a and b? solve on paper, then enter your answer on zearn. point a: (16, -3) point b: (-2, 3) the slope of the line that goes through point a and b is \boxed{}.

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 values to variables

Let $(x_1,y_1)=(16,-3)$ and $(x_2,y_2)=(-2,3)$. Substitute into formula:
$m=\frac{3-(-3)}{-2-16}$

Step3: Simplify numerator and denominator

$m=\frac{3+3}{-18}=\frac{6}{-18}$

Step4: Reduce the fraction

$m=-\frac{1}{3}$

Answer:

$-\frac{1}{3}$