The linear equation for the graph in terms of x is given by: y = -0.5x - 3.
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 = -3, hence the y-intercept is of b = -3. The graph also passes through point (2,-4), hence the slope is given by:
m = (-4 - (-3))/(2 - 0) = -1/2 = -0.5.
Hence the equation is:
y = -0.5x - 3.
More can be learned about linear functions at https://brainly.com/question/24808124
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