Question

write the equation in slope intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16

Answer 1

Answer:

Step 1 - Find the gradient of 2x + 4y = 16

2x + 4y = 16

4y = 16 - 2x

y = 4 - 1/2x

gradient = -1/2

Step 2 - Find the Equation

y - y1 = m(x - x1)

m = gradient, (x1, y1) = (-2,2)

y - 2 = -1/2 (x + 2)

y - 2 = -1/2x - 1

y = -1/2x + 1 → ANSWER

Hope it helps!