Question

write the equation of the line that is parallel to the line 4x - 3y = -12 and passes through the point (-3, 4). a. y = 4/3x 8 b. y = 4/3x 3 c. y = - 3/4x 8 d. y = - 3/4x 3

Answer 1

Parallel lines has equal slopes. Line 4x - 3y = -12 or 3y = 4x + 12 or y = 4/3 x + 4 has a slope of 4/3.
Required equation is y - y1 = 4/3(x - x1)
y - 4 = 4/3(x - (-3))
y - 4 = 4/3(x + 3)
y - 4 = 4/3 x + 4
y = 4/3 x + 4 + 4
y = 4/3 x + 8