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May I please receive help?

May I please receive help?-example-1
User Tosha
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9514 1404 393

Answer:

  • parallel: y = -7x -44
  • perpendicular: y = 1/7x -8/7

Explanation:

The given equation is in slope-intercept form:

y = mx +b . . . . . . line with slope m and y-intercept b

For the purpose of this question, you need to recognize that the line with equation ...

y = -7x +8

has a slope (x-coefficient) of -7.

The parallel line will have the same slope (x-coefficient).

The perpendicular line will have a slope that is the opposite reciprocal of this:

m = -1/(-7) = 1/7

Each line will have a y-intercept (b) that makes the line go through the given point. The y-intercept can be found by solving the slope-intercept equation for b:

b = y - mx . . . . . . where (x, y) is the point you want the line to go through

__

parallel line:

b = -2 -(-7)(-6) = -2 -42 = -44

The equation of the parallel line is y = -7x -44.

__

perpendicular line:

b = -2 -(1/7)(-6) = -14/7 +6/7 = -8/7

The equation of the perpendicular line is y = 1/7x -8/7.

May I please receive help?-example-1
User David Rice
by
7.7k points

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