Question

Find the equation of the line that is parallel to the line y = -3/2 x + 4 and passes through the point (4, 0)? Justify how you knew what slope to use for step 1. Show ALL work needed to complete this problem

Answer 1

Hello there,

Parallel Lines: have the same slope

Slope Intercept Form: y = mx + b

Given Equation:

y = -3/2x + 4

Point Given: (4, 0)

Plug in and Solve:

0 = 2/3(4) + b

0 = 8/3 + b

-8/3 -8/3

-------------------

-8/3 = b

Answer: y = 2/3x - 8/3

Hope I Helped!

-Char