if you were to write the equation of this line in the form y=mx+c what is the value of m
a. 4
b. -1/4
c. 1
d. -4
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Answer:
B choice.
Step-by-step explanation:
The graph decreases. Therefore, the slope is in negative. We can rule out A and C choices.
It is very obvious to tell because of steepness. Low steepness = low value
High steepness = high value.
We can also find the slope by using rise/run.
[tex]m = \frac{dy}{dx} [/tex]
The change of y over the change of x.
Given the coordinate points (0,1) and (4,0). Both points are part of the graph.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{1 - 0}{0 - 4} \\ m = \frac{1}{ - 4} \\ m = - \frac{1}{4} [/tex]
Therefore the value of m is - 1/4