SterlinB16601 SterlinB16601
  • 03-11-2022
  • Mathematics
contestada

what line is perpendicular to the line y=2x+4 ? what line is parallel to line y + 2x+4 ? *options are for both answers*

what line is perpendicular to the line y2x4 what line is parallel to line y 2x4 options are for both answers class=

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NahzirU220384 NahzirU220384
  • 03-11-2022

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

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