Respuesta :

gmany

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m=\dfrac{5-1}{2-4}=\dfrac{4}{-2}=-2[/tex]

Answer: The slope is -2.

CharlieBrown2002

Hello!

Explanation:

Slope-intercept form: → [tex]y=mx+b[/tex]

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run

[tex]\frac{rise}{run}[/tex]

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]x^1,y^1=(4,1)[/tex]

[tex]x^2,y^2=(2,5)[/tex]

[tex]\frac{5-1=4}{2-4=-2}=-2[/tex]

So the final answer is [tex]\boxed{=-2}[/tex]

Hope this helps!

Thank you :)

-Charlie