Question

Does anyone know this answer plz??

Answer 1

y = 2x + 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 ) = (- 3, 1) and (x₂, y₂ ) = (- 2, 3)

m =
`(3-1)/(-2+3)` =
`(2)/(1)` = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (- 3, 1 ) into the partial equation

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 2x + 7 ← equation of line