Find the equation of the line shown. Please help

y = 2x + 3

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 ) = (0, 3) and (x₂, y₂ ) = (1, 5) ← 2 points on the line

m = = 2

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 2x + 3 ← equation of line

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: