Question

Which is the slope of the line that passes through the points (-10,-4) and (10,-29)? Write your answer in the simplest form .

Answer 1

Answer: = (-5/4)

Step-by-step explanation:

(-10,-4), (10,-29) y1-y2/x1-x2

-29 - (-4)/ 10 - (-10) = -29 + 4/ 10 + 10

-25/20 Simplify: -5/4

Answer 2

Slope of a line is tell us about the steepness of the line. It also tell the direction of the line. The slope of a line is the ratio of the rise to the run.The slope of the line passes through the point (-10, -4) and (10,-29) is -5/4 or -1.25.

Given-

The points through which the line passes are (-10, -4) and (10,-29).

What is the slope of the line?

Slope of a line is tell us about the steepness of the line. It also tell the direction of the line. The slope of a line is the ratio of the rise to the run.

The slope of the line $m$ which passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ can be given as,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

The slope of the line passes through the point (-10, -4) and (10,-29) can be obtained by using the above formula. Put the values of the points in the formula of the slope of the line. Thus,

$m=\dfrac{-29-(-4)}{10-(-10)}$

$m=\dfrac{-29+4}{10+10}$'

$m=\dfrac{-25}{20}$

$m=-\dfrac{5}{4}$

$m=-1.25$

Thus the slope of the line passes through the point (-10, -4) and (10,-29) is -5/4 or -1.25.

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