Mathematics: determine which pair of points has a positive slope. (5, –4), (–2, 1) (6, –10), (2, 10) (–10, –2), (6, 6) (5, –1), (–6, 6)

The x coordinate might be -1.5. Step-by-step explanation:...

determine which pair of points has a positive slope.

Jowell3858

10.01.2022

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Verify each case

case 1) (5, –4), (–2, 1)

substitute in the formula

$m=\frac{1-(-4)}{-2-5}$

$m=\frac{1+4}{-2-5}$

$m=\frac{5}{-7}$

$m=-\frac{5}{7}$ ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

$m=\frac{10-(-10)}{2-6}$

$m=\frac{10+10}{2-6}$

$m=\frac{20}{-4}$

m=-5 ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

$m=\frac{6-(-2)}{6-(-10)}$

$m=\frac{6+2}{6+10}$

$m=\frac{8}{16}$

m=0.5 ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

$m=\frac{6-(-1)}{-6-5}$

$m=\frac{6+1}{-6-5}$

$m=\frac{7}{-11}$

$m=-\frac{7}{11}$ ----> the slope is negative

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