Respuesta :

Explanation:

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

m: represents the slope and is constant.

b: represents the y-intercept.

You can also to used rise/run.

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

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

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

[tex](x^1, y^1)=(4,2)[/tex]

[tex](x^2, y^2)=(1, -7)[/tex]

[tex]rise=y^2-y^1=-7-2=-9[/tex]

[tex]run=x^2-x^1=1-4=-3[/tex]

You can also divide into the -3 are:

[tex]-9/-3=3[/tex]

But the slope is 3.

But the y-intercept is -3.

Hope this helps!

Thanks!