Question

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

Answer 1

B choice.

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.

`m = (dy)/(dx)`

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.

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (1 - 0)/(0 - 4) \\ m = (1)/( - 4) \\ m = - (1)/(4)`

Therefore the value of m is - 1/4