Answer :
The linear function that contains the points (0,3) and (-1,5) is given by:
y = -2x + 3.
What is the missing information?
The graph is not given and I couldn't find the problem on a search engine, hence I am going to suppose that two points on the graph are (0,3) and (-1,5).
You can select the value of y when the function crosses the y-axes(y-intercept) and another point and follow the same procedure I am going to do here.
What is a linear function?
A linear function is modeled in slope-intercept form by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that when x = 0, y = 3, hence the slope is of b = 3. When x = -1, y = 5, hence the slope(change in y divided by change in x) is given by:
(3 - 5)/(0 - (-1)) = -2.
Hence the function is:
y = -2x + 3.
More can be learned about linear functions at https://brainly.com/question/24808124
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