The slope of the line is -2 or the slope of the graph is -2 if the other point is (-1, 1) option (D) is correct.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a graph of a line shown in the picture.
Let's suppose the equation of the line is:
y = mx + c
Here, m is the slope and c is the y-intercept
From the y-intercept is (0, -1)
Plug the above point in the equation.
y = -1
The equation becomes:
y = mx -1
Now we need one more point to calculate the slope of the line.
From the graph, the slope of the line is negative because it is going downwards.
Plug (-1, 1) in the equation:
1 = -m - 1
So, m = -2
Thus, the slope of the line is -2 or the slope of the graph is -2 if the other point is (-1, 1) option (D) is correct.
Learn more about the slope here:
brainly.com/question/3605446
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