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

-3/2x + 7/2

Step-by-step 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

center= (-2,0)

radius= sqrt2/2

step-by-step explanation: