To find the equation of the line
First find the slope using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the points:
(0, 8) (6, -4)
x₁=0 y₁=8 x₂=6 y₂=-4
substitute the values and evaluate
[tex]m=\frac{-4-8}{6-0}[/tex][tex]=-\frac{12}{6}=-2[/tex]
Next, is to find the intercept
substitute x=0 y=8 and m=-2 into y=mx+ b and solve for intercept b
8 = -2(0) + b
b=8
To form the new equation, substitute m=-2 and b=8 into y=mx+b
y=-2x + 8
