what line is perpendicular to the line y=2x+4 ? what line is parallel to line y + 2x+4 ? *options are for both answers*
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Given the line : y = 2x + 4
the general equation of the line is y = mx + b
where m is the slope , b is the y intercept
By comparing the given line with the general form
so, the slope of the given line is :
m = 2
the slope of the perpendicular line will be = -1/m
so, the slope of the perpendicular line = -1/2
The slope of the parallel line = the slope of the given line
So, the slope of the parallel line = 2
so, the answer is:
the perpendicular line is : y = (-1/2) x + 10
The parallel line is : y = 2x + 1