Question

without graphing, caculate the slope of each line described below . a line that goes through the points (4,1) and (2,5)

Answer 1

The formula of a slope:

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

We have the points (4, 1) and (2, 5). Substitute:

$m=\dfrac{5-1}{2-4}=\dfrac{4}{-2}=-2$

Answer: The slope is -2.

Answer 2

Hello!

Explanation:

Slope-intercept form: → $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run

$\frac{rise}{run}$

$m=\frac{y^2-y^1}{x^2-x^1}$

$x^1,y^1=(4,1)$

$x^2,y^2=(2,5)$

$\frac{5-1=4}{2-4=-2}=-2$

So the final answer is $\boxed{=-2}$

Hope this helps!

Thank you :)

-Charlie