Colleen was on a 338 mile long road trip. During the first part of the trip there was lots of traffic so she only averaged 27 mph. The second part of the trip there was no traffic so she
could drive 46 mph. She spent 1 hour longer after the traffic cleared than stuck in traffic. How
long did she travel at each speed?

In an equation with the form y = mx + b, the slope is m, the y-intercept is b, and the x-intercept is found when you sub 0 in for y.

Based on this, in the equation y = 1/5x - 3/5, 1/5 is the slope and 3/5 is the y-intercept. Let's find the x-intercept:

0 = 1/5x - 3/5

3/5 = 1/5x

(3/5) / (1/5) = x

x = 3

The x-intercept is, I believe, 3. Hope this helps!