Question

Find the slope of the line passing through the points (-3, -8) and (4,6).

Answer 1

Answer:

slope = 2

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have

$(-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6$

Substitute:

$m=\dfrac{6-(-8)}{4-(-3)}=\dfrac{6+8}{4+3}=\dfrac{14}{7}=2$

Answer 2

The formula for the slope m of the line that passes through two points $(x_1, y_1)$ and $(x_2, y_2)$ is the following:

$m=\dfrac{y_1-y_2}{x_1-x_2}$

We have points (4,6) and (-3,-8). Let's plug these values into the formula for slope:

$m=\dfrac{6-(-8)}{4-(-3)}$

$=\dfrac{14}{7}=2$

The slope of the line passing through the two points is 2. Let me know if you need any clarifications, thanks!