Question

Which is the equation in slope-intercept form for the line that passes through (-1,5) and is parallel to 3x + 2y = 4?

A. y = 2/3x + 7/2
B. y = -2/3x + 7/2
C. y = 3/2x - 7/2
D. y = -3/2x + 7/2

Answer 1

Answer: -3/2x + 7/2

Explanation:

for parallel lines; m₁ = m₂

the gradient of the given line is -3/2

2y= -3x + 4

y = -3/2x + 2

therefore the gradient of the parallel line is -3/2

hence the equation is y-y₁ = m(x-x₁)

y-5 = -3/2(x+1)

y - 5 =-3/2x - 3/2

y = -3/2x -3/2 + 5

y = -3/2x + 7/2