Question

Can someone help me ASAP pleaseee

Answer 1

y = 8x - 26

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, - 2) and (x₂, y₂ ) = (4, 6)

m =
`(6+2)/(4-3)` = 8 , thus

y = 8x + c ← is the partial equation

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

Using (4, 6) , then

6 = 32 + c ⇒ c = 6 - 32 = - 26

y = 8x - 26 ← equation of line