Answer:
b = -12
Step-by-step explanation:
In order to find the slope intercept you must first find the slope of the given points.
[tex]-4,2 = 12,6[/tex]
[tex]S=\frac{y2-y1}{x2-x1}[/tex]
Substitute:
[tex]\frac{12--4}{6-2}[/tex]
[tex]12--4=12+4=16[/tex]
[tex]6-2=4[/tex]
[tex]S=\frac{16}{4}[/tex]
Now find the slope intercept
[tex]16\div4=4[/tex]
[tex]SI=y=mx+b[/tex]
Substitute:
[tex]12=4\times6+b[/tex]
Solve:
[tex]4\times6=24[/tex]
[tex]12=24+b[/tex]
Subtract 24 on both sides:
[tex]12-24=-12[/tex]
[tex]x=-12[/tex]
[tex]y=-12[/tex]
Hope this helps.
