Question

1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answer 1

The answer should be y = -
`(3)/(2)`
`x` + 8, but its not one of the answers, so check the question again.

Explanation:

If the second line is parallel, then the gradient will be the same:

y = -
`(3)/(2)`
`x` + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 = (-
`(3)/(2)` x 4) + c

2 = -6 + c

c = 8