Find an equation

Question

Find an equation of the line that passes through the point (−2, 2) and is parallel to the line 2x − 4y − 8 = 0.

Answer 1

solve the equation for y

2x -4y -8 = 0

4y = 2x-8 divide by 4

y = x/2 - 2 slope = m = coefficient of the x term = 1/2

y = x/2 + b. plug in the point (-2,2), x=-2, y=2 into the equation to solve for b = y intercept

2 = (-2)/2 + b

b = 2 +1 = 3

y= x/2 + 3 is the equation of the parallel line through (-2,2) in slope intercept standard form

or if you want to eliminate fractions, multiply by 2

2y-x = 6