Answer:
The Slope of p is the negative reciprocal of the slope of q
The slope of p is -5/2
The slope of m is -2/5
Explanation:
Slope:
To find the slope of a line, we need two points. The slope is the change in y divided by the change in x.
The Slope of q is -5/2
Two points of line q are: (6,15) and (8,20)
Change in y: 20 - 15 = 5
Change in x: 8 - 6 = 2
Slope: 5/2
The slope of q is 5/2, so this statement is false.
The Slope of p is the negative reciprocal of the slope of q
Two points of line p are: (6,15) and (10,5)
Change in y: 5 - 15 = -10
Change in x: 10 - 6 = 4
Slope: -10/4 = -5/2
The slope of p is -5/2, which is the negative reciprocal of the slope of q(5/2). So this statement is true.
The slope of p is -5/2
From the statement above, this is true.
The slope of n is 2/5
Two points of line n are: (-5,0) and (0,-2)
Change in y: -2 - 0 = -2
Change in x: 0 - (-5) = 0 + 5 = 5
Slope: -2/5
This statement is false.
The slope of m is -2/5
Two points of line m are: (-2,7) and (3,5)
Change in y: 5 - 7 = -2
Change in x: 3 - (-2) = 3 + 2 = 5
Slope: -2/5
This statement is true.