A line which has the same slope as the line passing through the given points is: C. y = 2x + 8.
Given the following data:
Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope = \frac{5\;-\;(-1)}{-1\;-\;(-4)}\\\\Slope = \frac{6}{3}[/tex]
Slope = 2.
Therefore, y = 2x + 8 is a line which has the same slope as the line passing through the given points.
Read more on slope here: brainly.com/question/3493733
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Complete Question:
Which line has the same slope as the line passing through (-4, -1) and (-1, 5)?
A. y = 3
B. 9x - 3y = 5
C. y = 2x + 8
D. the line passing through (1, 4) and (1, 7)
