Find the equation of the line shown

y = 2x + 5

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 ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)

m = = = 2 , then

y = 2x + c ← is the partial equation

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

Using (1, 7 ) , then

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← equation of line

the answer

b. they are parallel and will never intersect.