Question

I need someones help please asap

Answer 1

y = -
`(8)/(7)` x +
`(8)/(7)`

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 ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 0 )

m =
`(0-8)/(1-(-6))` =
`(-8)/(1+6)` = -
`(8)/(7)` , then

y = -
`(8)/(7)` x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation.

using (1, 0 ), that is x = 1, y = 0

0 = -
`(8)/(7)` + c ⇒ c = 0 +
`(8)/(7)` =
`(8)/(7)` , so

y = -
`(8)/(7)` x +
`(8)/(7)` ← equation of line