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It has the same slope and the same y-intercept, that is, option a is the right choice.
A linear function in the slope-intercept is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept.
We are given two linear functions and are asked to compare them.
First linear function:
Slope (m) = -7/9.
y-intercept (b) = 3.
Therefore, the linear function is: y = (-7/9)x + 3.
Second linear function:
Function given: y + 11 = (-7/9)(x - 18)
or, y + 11 = (-7/9)x + (-7/9)(-18)
or, y = (-7/9)x + 14 - 11 = (-7/9)x + 3.
Therefore, slope (m) = (-7/9)
y-intercept (b) = 3.
Therefore, we can say that it has the same slope and the same y-intercept, that is, option a is the right choice.
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