Question

1.) You go skiing on one route with an equation = 2 + 4 and then
immediately go to a route with an equation = 4 + 1. Which of the
following responses best describes your routes?
A: Your second route was steeper than your first, and the second route was higher up
the mountain.
B: Your first route was positive (uphill), but your second route was negative (downhill).
C: Your first route was steeper than your second, and both were positive (uphill).
D: Your first route was flatter than your second, and your first route began at a higher
point than your second

Answer 1

The best information that describes your routes is the second route was steeper than your first, and the second route was higher up the mountain.

What is the slope of a linear equation?

The slope of a linear equation is the change in the rise over the run. So, the slope of a linear equation shows that the larger the slope, the steeper the line becomes.

From the given information:

y = 2x + 4  --- (1)

y = 4x + 1  --- (2)

Using the slope-intercept formula:

y = mx + b

• m = slope
• b = y-intercept

From the first equation, the slope is 2 and in the second equation, the slope is 4.

Therefore, we can conclude that the second route was steeper than your first, and the second route was higher up the mountain.

Learn more about the slope of a linear equation here:

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