Respuesta :

The answer is D. This is because the line goes up 1 unit and to the left 7 units. Because there is movement to the left(negative direction) the slope is negative.

Answer:

D) -1/7

Step-by-step explanation:

Pick the two points on the graph that coincide with a whole number point.

in this case it would be (3,0) and (-4, 1)

The logical way is to count the rise, and count the run ( thats what slope is, rise over run)

If you put your finger on (3,0) you can see that in order to get to (-4, 1), you must go up once , and go left 7 numbers.

This means your run is 1, and your rise is -7, making your slope to be -1/7

(Keep in mind that if you had to go down, that would have made the 1 negative or if you had to go to the right, then 7 would be positive, In short, right and up is positive, left and down is negative.)

Also note that -1/7 is the same as 1/-7

Mathematically:

use equation (y2 - y1) / (x2 - x1)

plug in the points (it doesnt matter which point is which as long as both the x and the y of each point is both either on the right or the left).

(0 - 1) / (3 - (-4) = -1 /7