Question

A line passes through points

A(n, 4) and B(6, 8) and is parallel to y = 2x 5.
What is the value of n?

Answer 1

n = 4

Explanation:

Parallel lines will always have the same slope as m1 = m2.

Thus, we have y = 2x + b

While we have the slope for the second line (m = 2), we still need to find the b aka the y-int.

We can plug in point b into the equation to find the y-int:

`y=2x+b\\8=2(6)+b\\8=12+b\\-4=b`

To find n, we simply plug in 4 for y and solve for x:

`y=2x-4\\4=2n-4\\8=2n\\4=n`