The graph that represents the line that is perpendicular to y = 4x - 3, is: C. Graph C.
What is the Slope of Perpendicular Lines?
If two lines are perpendicular to each other, then, their slopes would be negative reciprocals.
Considering the equation, y = 4x - 3, the slope is 4.
Negative reciprocal of 4 is -1/4. The slope of the line that is perpendicular to y = 4x - 3 would be -1/4.
Slope of the line in graph C = change in y / change in x = -1/4
Therefore, the graph that shows a line that is perpendicular to y = 4x - 3 is: Graph C.
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