Question

line m goes through points a and b. what is the slope of line m? solve on paper, then enter your answer on zearn. point a : (10, -3) point b : (-6, 1) the slope of line m is \boxed{} .

Explanation:

Step1: Recall slope formula

The slope formula 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 $(x_1,y_1)=(10,-3)$ and $(x_2,y_2)=(-6,1)$. Substitute into the formula:
$\text{slope}=\frac{1-(-3)}{-6-10}$

Step3: Simplify numerator and denominator

$\text{slope}=\frac{1+3}{-16}=\frac{4}{-16}$

Step4: Reduce the fraction

$\text{slope}=-\frac{1}{4}$

Answer:

$-\frac{1}{4}$