The slope and the y-intercept of the linear function represented by the graph is given as follows:
The slope is two-thirds, and the y-intercept is –2.
What is a linear function?
A linear function is modeled 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.
Looking at the graph, when x = 0, y = -2, hence the y-intercept is of -2. The slope is given by change in y divided by change in x, hence considering that the graph also goes through (3,0), it is given by:
[tex]m = \frac{0 - (-2)}{3 - 0} = \frac{2}{3}[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
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