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Select all the true statements. The Slope of q is -5/2The Slope of p is the negative reciprocal of the slope of qThe slope of p is -5/2The slope of n is 2/5The slope of m is -2/5

Select All The True Statements The Slope Of Q Is 52The Slope Of P Is The Negative Reciprocal Of The Slope Of QThe Slope Of P Is 52The Slope Of N Is 25The Slope class=

Sagot :

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​

Step-by-step 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.

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