Answer:
(5, 5 )
Step-by-step explanation:
A line with a slope m = - 3, means
[tex]\frac{vertical}{horizontal}[/tex] = [tex]\frac{-3}{1}[/tex]
That is subtract 3 from the y- coordinate and add 1 to the x- coordinate
(4, 8 ) → (4 + 1, 8 - 3 ) → (5, 5 )
The other point on the line would be (5, 5 )
As a check using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (4, 8 ) and (x₂, y₂ ) = (5, 5 ) , then
m = [tex]\frac{5-8}{5-4}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
Thus (5, 5 ) is a point on the line with slope of - 3
