Question

How do I figure the equation out

Answer 1

Answer:

Answer for Parallel line: y = 3x - 13

Answer for Perpendicular line: y = (-1/3)x +17/3

Step-by-step explanation:

Parallel line

For the slope of a line parallel to another (given) line, just read the slope of the given line. It (in this case) is the coefficient in front of the x.

m = 3

So far what you have is y = 3x + b

To find b, use the given point (2,5)

x = 2

y = 5  Substitute these values into the skeletal equation. y = 3x + b

2 = 3*5 + b     Subtract 15 from both sides.

2 = 15 + b

2 - 15 = b switch sides

b = - 13

Answer y = 3x - 13

Part B

Perpendicular line

The perpendicular line will have a slope determined by the following formula

m1 * m2 = - 1

m1 is the slope of the given line which is 3

3 * m2 = - 1

m2 = - 1/3

So far, what you have is

y = (-1/3)x + b To find b, use the same 2 givens as above.

y = 5

x = 2

Substitute into the skeletal equation.

5 = (-1/3)(2) + b

5 = -2/3  + b  Switch sides.  

b - 2/3 = 5  Add 2/3 to both sides.

b = 5 + 2/3

b = 5 2/3 = 17 / 3

Answer

y = (-1/3)x + 17/3

If this doesn't seem right, and you have choices, could you please list them?