Question

Determine the initial value and the rate of change of the linear function as given in the graph.

(1 point)
Responses

The initial value is 16
1
6
, and the rate of change is 32
3
2
.
The initial value is Start Fraction 1 over 6 End Fraction , and the rate of change is Start Fraction 3 over 2 End Fraction .

The initial value is 23
2
3
, and the rate of change is −23
−
2
3
.
The initial value is Start Fraction 2 over 3 End Fraction , and the rate of change is negative Start Fraction 2 over 3 End Fraction .

The initial value is −2

Answer 1

I can’t see the graph in your message, so I can’t pick the correct choice. Please either upload the graph image or give two clear points from the line (for example (0, y1) and (x2, y2)).

How to determine it yourself:
- Initial value = y‑intercept = the y value where x = 0.
- Rate of change (slope) = (change in y)/(change in x) = (y2 − y1)/(x2 − x1) using any two distinct points on the line.

If you paste the graph or two points, I’ll compute the y‑intercept and slope and pick the matching answer.