Answer:
y = -7x-11 parallel
y = 1/7x + 2/7 perpendicular
Step-by-step 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
