Answer:
Equation of the line: y= 2x-8
Graph is attached.
Step-by-step explanation:
First, start by inputing the given points into slope equation: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{8-4}{8-6} }[/tex]
Simplify.
[tex]\frac{4}{2} =2[/tex]
Then, substitute the slope for m in y=mx+b.
y=2x+b
Find b by substituting one of the points for x and y.
4=2(6)+b
Solve for b.
4=12+b
b=-8
Then substitute b into y=2x+b.
Answer: y=2x-8
