The equation in slope-intercept form is y = 4x + 1
Given,
Points (x, y) = (-1, 5)
Parallel to y = 4x - 5
Now,
Recall that a parallel line to the one given has to have the same slope. The slope of the line given is "4" (the coefficient that accompanies "x").
Therefore the equation of a parallel line has to be of the form:
y = 4x - b
5 = 4(-1) - b
5 = -4 - b
b = -4 - (-5)
b = -4 + 5
b = 1
So the equation now becomes:
y = 4x + 1
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