Question

Two separate linear functions are expressed by the graph and by the equation. Select all that apply.

Answer 1

Answer:

First option: The slope is negative for both functions.

Fourth option: The graph and the equation expressed are equivalent functions.

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

$y=-4x-4$

We can identify that:

$m=-4\\b=-4$

Notice that the slope is negative.

 We can observe in the graph that y-intercept of the other linear function is:

$b=-4$

Then, we can substitute this y-intercept and the coordinates of a point on that line, into $y=mx+b$ and solve for "m".

Choosing the point $(-2,4)$, we get:

$4=m(-2)-4\\\\4+4=-2m\\\\m=-4$

Notice that the slope is negative.

Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.

Answer 2

Answer:

correct answer: the slope is negative for both functions and the slope of the line in the graph is -2.

Step-by-step explanation: