Answer:
Answer for Parallel line: y = 3x - 13
Answer for Perpendicular line: y = (-1/3)x +17/3
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
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