Question

What is the equation of the line y = 1/2x - 4 y = 2x - 4 y = 2x + 2 y = 1/2x + 2

Answer 1

it's y= 1/2x + 2. The Y-intercept is 2 since it is (0,2)

Answer 2

y = $\frac{1}{2}$ x + 2

the equation of a line in slope-intercept form is

y = mx + c (m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (- 4, 0 ) ← points from graph

m = $\frac{0-2}{-4-0}$ = $\frac{-2}{-4}$ = $\frac{1}{2}$

from the graph the y-intercept = (0, 2 ) → c = 2

y = $\frac{1}{2}$ x + 2 ← is the equation