Question

What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?

Answer 1

Answer:

$y=\frac{1}{3} x+5$

Step-by-step explanation:

We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:

$y=mx+b$

Plugging in the values we know:

$8=\frac{1}{3} (9)+b$

We solve for $b$ and get:

$b=5$.

So, the equation of our new line must be:

$y=\frac{1}{3} x+5$