Answer:
D. slope of function B = - slope of Function A
Step-by-step explanation:
Slope-intercept form: f(x) = mx + b
Function A: f(x) = -2x + 1
Function A is written in slope-intercept form, where m is the slope. This means that the slope of Function A is -2.
To compare the slopes of the 2 functions, we have to find the slope of function B. the slope is also known as the rise over run of a line. To find the slope using the graph, look and see how much the line goes up by every time it moves over 1. The line moves from point (0, -3) to point (1, -1). Then it goes from point (1, -1) to point (2, 1). Every time the line moved over one point on the x-axis, it increased by 2 points on the y-axis. This means that the slope of Function B is 2.
Now that we know the slopes of both functions, let's compare them:
Function A slope = -2
Function B slope = 2
If we equal the slopes to each other, we get:
2 = -2
This can also be represented as:
slope of function B = - slope of Function A
Answer choice D is the correct option.
Hope this helps :)
