Question

Need help with this problem

Answer 1

y = - 3x + 8

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)

m =
`(5+16)/(1-8)` =
`(21)/(-7)` = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 5 ) , then

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - 3x + 8 ← equation of line

Answer 2

y = -3x + 8

I've done the steps in the photo

Hope it helps (｡･ω･｡)