The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
![\rm m =\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
![\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)](https://tex.z-dn.net/?f=%5Crm%20y%5C%20-2%5C%20%3D%5C%20%5Cdfrac%7B%5Cleft%282-0.5%5Cright%29%7D%7B-4-2%7D%5Cleft%28x%2B4%5Cright%29)
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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