Answer:
Step-by-step explanation:
For a line to be perpendicular to another line, its slope must be the negative inverse of the original line’s.
For example, the negative inverse of 3x is -1/3 x.
The line y = 3x is perpendicular to y = -1/3 x. Any line with a slope of 3x is perpendicular regardless of its y-intercept.
Plotted on the graph are the equations:
Y = 3x
Y = 3x + 3
Y = - 1/3 x
As you can see, the lines with the slope of 3x are perpendicular to the third line regardless of their y-intercepts. Only slope matters in regards to parallel and perpendicular lines.
