Question

Alejandro said that the slope of the line in the Example is because for points
2
(2, 140) and (0,0), the rise is 140 and the run is 2. Is Alejandro correct? Explain.

Answer 1

Answer:

Step-by-step explanation:

slope = M = rise/ run

P1=(2,140)

P2=(0,0)  

M= (Y2-Y1) / ( X2-X1)

M = 0-140 /0-2

M = -140 / -2

M = 140 / 2

Yes, Alejandro is right

Answer 2

The slope of the line is the ratio of rise to the run. Therefore the line  with points (2,140) and (0,0) has rice 140 and run 2. Hence the statement given by the Alejandro is correct.

Given information-

Points of the line are (2,140) and (0,0).

The rise of the line is 140.

The run of the line is 2.

Slope of the line-

Slope of a line describes the steepness and the direction of the line. The slope of of line passing through the point $(x_1,y_1)$ and $(x_2,y_2)$ can be given as,

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

Thus the slope of the line with points (2,140) and (0,0) is,

$m=\dfrac{(0-140)}{(0-2)} \\ m=\dfrac{140}{2}$

As the slope of the line is the ratio of rise to the run. Therefore the line  with points (2,140) and (0,0) has rice 140 and run 2. Hence the statement given by the Alejandro is correct.

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