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Sagot :
The correct option regarding the point at which the linear functions intersect is given by:
C) The lines don't intersect.
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.
For line m, we have that the y-intercept is of b = 8. When x changes by 4, y changes by 8, hence the slope is of 2, and the equation is:
y = 2x + 8.
Line n, in slope-intercept format, is given by:
-8x + 4y = 24
4y = 8x + 24
y = 2x + 6
Hence:
2x + 8 = 2x + 6
0x = -2
Which is impossible, hence they do not intersect and option C is correct.
More can be learned about linear functions at https://brainly.com/question/24808124
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