(-2,3); y=-x+4 parallel & perpendicular lines

To find the parallel line, you use the same slope of the given equation.

So m = -1. You then use this equation:

y = mx + b

SInce you know "m" you can plug it in. Now you need to find "b", and to do so you plug in the point (-2,3) into the equation.

y = -1x + b

3 = -1(-2) + b

3 = 2 + b

1 = b

Your new equation for a parallel line is y = -1x + 1 or y = -x + 1

To get the perpendicular line, you use the slope from the given equation, but you use the opposite of it or you flip it.

For example, if your slope is:

m = 5

the new slope will be -1/5

m = -1/2

the new slope will be 2

Basically if the line is perpendicular, you flip the sign and the number of the slope from the given equation. The slope of the given equation is -1, so the new slope is 1.

y = 1x + b

You plug in the point (-2, 3) to find b.

3 = 1(-2) + b

3 = -2 + b

5 = b

Your new equation for the perpendicular line is y = 1x + 5 or y = x + 5

a. she will receive a refund of $278.

step-by-step explanation: