Question

Find the equation of the line parallel to y = 2x - 4 that runs through the point (-2, 4).

Answer 1

y = 2x + 8

Explanation:

Equation of line:

Parallel lines have same slope.

y = 2x - 4

Slope = 2

Point (-2 ,4)

Equation of line in point-slope form:

y - y₁ = m(x - x₁)

y - 4 = 2(x - [-2] )

y - 4 = 2(x + 2)

y -4 = 2x + 4

y = 2x + 4 + 4

`\sf \boxed{y = 2x + 8}`