Question

Will give a lot of points!!!!

Answer 1

Parallel: y = -7x - 11

Perpendicular: 7y = x + 23

Explanation:

parallel: same slope

y-3 = -7(x+2)

y = -7x - 14 + 3

y = -7x - 11

Perpendicular: slope = -1/m

Slope = -1/-7 = 1/7

y-3 = (1/7)(x+2)

y = (1/7)x + (2/7)+3

y = (1/7)x + 23/7

Or

7y = x + 23

Answer 2

y = -7x-11 parallel

y = 1/7x + 2/7 perpendicular

Explanation:

Parallel lines have the same slope

y = -7x+3 has a slope of -7 (y= mx+b where m is the slope)

We have the slope -7 and a point (-2,3)

y = mx+b

3 = -7(-2) +b

3 =14+b

Subtract 14 from each side

3-14 = 14-14 +b

-11 =b

y = -7x-11

Perpendicular lines have slopes that multiply together to equal -1

y = -7x+3 has a slope of -7 (y= mx+b where m is the slope)

Let m = the slope of the perpendicular line

-7 * m = -1

Divide by -7

-7m/-7 = -1/-7

m = 1/7

We have the slope 1/7 and a point (-2,3)

y = mx+b

3 = 1/7(-2) +b

3 = 2/7 +b

Subtract 2/7 from each side

21/7 - 2/7 = 2/7+b-2/7

19/7 =b

y = 1/7x + 2/7