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!