Lines m and p are perpendicular. if the slope of line m is -3 what is the slope of line p?
2 answers:
Answer:
The slope of line p is 1/3. The correct option is B.
Step-by-step explanation:
Let the slope of line p be m.
The product of slopes of two perpendicular lines is -1 and the slope of two parallel lines are same.
It is given that lines m and p are perpendicular. It means the product of slopes of m and p is -1. The slope of line m is -3.
Divide both sides by -3.
Therefore the slope of line p is 1/3. The correct option is B.
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Answer:
f(x) = {-x for x < 2; 2x-3 for x ≥ 2}
Step-by-step explanation:
The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)
The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...
b = y -mx
b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)
Then the slope-intercept equation for the red line is ...
y = 2x -3
That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.
Putting these parts together, we get ...