Answer:
1. y = 1/4x - 11/2
2. y = -4x - 14
Step-by-step explanation:
If two lines are perpendicular, the slopes should be reciprocals and negatives of each other. (for example, 3/2 becomes -2/3, or -7/5 becomes 5/7)
The slope of -4x + 5 is -4. So the new line's slope will be 1/4.
Now the equation is y = 1/4x + b. To find b, substitute (-2,-6).
y = 1/4x + b
-6 = 1/4(-2) + b
-6 = -1/2 + b
-11/2 = b
So equation is y = 1/4x - 11/2
2.
If two lines are parallel, their slopes are the same.
So the new equation is y = -4x + b
To find b, substitute (-2,-6)
y = -4x + b
-6 = -4(-2) + b
-6 = 8 + b
-14 = b
So equation is y = -4x - 14
