Question

Mona was comparing two linear functions. Function 1 has the equation
y
=
−
2
x
−
4
. The graph below shows function 2.



image.png



Which statement is correct?


The rate of change of function 1 is less than the rate of change of function 2 because
−
2
<
−
2
3
.


The rate of change of function 1 is less than the rate of change of function 2 because
−
2
<
−
3
2
.


The rate of change of function 1 is greater than the rate of change of function 2 because
−
2
<
−
3
2
.


The rate of change of function 1 is greater than the rate of change of function 2 because
−
2
<
−
2
3
.

Answer 1

I can't see the graph you attached. Please either re-upload the image or tell me two clear points on Function 2 (for example (x1,y1) and (x2,y2)).

Then I can compute the slope m2 = (y2 − y1)/(x2 − x1) and compare it to −2. (If m2 = −2/3 then the correct choice is "… because −2 < −2/3"; if m2 = −3/2 then the correct choice is "… because −2 < −3/2".)