Respuesta :
The correct statements regarding the linear function are given as follows:
- The slope is 1/2.
- The y-intercept is -4.
- The points (–2, –5) and (8, 0) are also on the line.
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.
In this problem, the line goes through points (-6,-7) and (8,0), hence the slope is given by:
[tex]m = \frac{0 - (-7)}{8 - (-6)} = \frac{7}{14} = \frac{1}{2} = 0.5[/tex]
Hence:
y = 0.5x + b
When x = 8, y = 0, hence the y-intercept is given as follows:
0 = 0.5(8) + b
b = -4.
When x = -2, we have that:
y = 0.5(-2) - 4 = -1 - 4 = -5.
The points (–2, –5) and (8, 0) are also on the line.
More can be learned about linear functions at https://brainly.com/question/24808124
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