Considering the linear function found in part a, we have that:
b) The slope is of AC.
c) The intercept is of AD + B.
<h3>What is a linear function?</h3>
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.
The equation found in part a is:
A(Cx + D) + B.
Placing it in slope-intercept format, we have that it is given by:
ACx + AD + B.
Hence:
b) The slope is of AC, as it is the part that multiplies x.
c) The intercept is of AD + B, as it is the constant term.
More can be learned about linear functions at brainly.com/question/24808124
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You can set y = to each side of the equation, then multiply by the denominator and put into standard form.
Left side:
.. y = 1/4x -3
.. 4y = x -12 . . . . multiply by 4
.. 4y -x = -12 . . . subtract x
Right side:
.. y = 1/2x +8
.. 2y = x +16 . . . multiply by 2
.. 2y -x = 16 . . . subtract x
These equations correspond to selection B.
