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 2, and the rate of change is 2.
The initial value is 2, and the rate of change is 2.

The initial value is 0, and the rate of change is 2.
The initial value is 0, and the rate of change is 2.

The initial value is −6
−
6
, and the rate of change is 2.
The initial value is negative 6 , and the rate of change is 2.

The initial value is 0, and the rate of change is 12
1
2
.
The initial value is 0, and the rate of change is Start Fraction 1 over 2 End Fraction .
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Answer 1

I can’t see the graph you mean. Could you either upload the graph or give two points on the line (for example (x1,y1) and (x2,y2))?

How to get the answer from the graph:
- Initial value = y-intercept = the y-value where the line crosses x = 0.
- Rate of change (slope) = (change in y)/(change in x) = (y2 − y1)/(x2 − x1) using any two distinct points on the line.

Example: if the line passes through (0, −6) and (1, −4), then initial value = −6 and slope = (−4 − (−6))/(1 − 0) = 2.

If you upload the graph or give two points, I’ll pick the correct choice from your list.