3) What is the equation of the line

y = x + 2

Step-by-step 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 =

with (x₁, y₁ ) = (- 4, 0 ) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = = = =

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.