Write the equation of a line that is parallel to y = - 3/2 * x - 1 and that passes through the point (4,6),.

Answer 1

If a line is going to be parallel to another line, it must have the same slope.

Therefore the slope in your new line will be -3/2.

Next, in order for the new line to contain (4,6), we will use it to solve for "b"

6 = (-3/2)(4) + b

6 = -(12/2) + b

6 = -6 + b

12 = b (this will be in your new equation)

So the new equation will be y = -3/2x + 12

Answer 2

Use the point-slope form

(y - 6) = (3/2)(x - 4)