Question

What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (3, 6) and (1, −2)?

Answer 1

First find the slope by using the slope formula \[ m = \frac{Y_2 - Y_1}{X_2 - X_1} \]
Just plugin your two point values (3, 6) and (1, −2)

\[ m = \frac{(-2) - 6}{1 - 3} = \frac{-8}{-2} = 4\]
Now that we know our slope, which is 4, we have our answer because they want the slope of a line that is parallel. Parallel lines have the same slope.

So the slope of a line that passes through the point (−1, 1) is 4