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:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
[tex]y=-4x-4[/tex]
We can identify that:
[tex]m=-4\\b=-4[/tex]
Notice that the slope is negative.
We can observe in the graph that y-intercept of the other linear function is:
[tex]b=-4[/tex]
Then, we can substitute this y-intercept and the coordinates of a point on that line, into [tex]y=mx+b[/tex] and solve for "m".
Choosing the point [tex](-2,4)[/tex], we get:
[tex]4=m(-2)-4\\\\4+4=-2m\\\\m=-4[/tex]
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.
