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HELP What is the slope of the line?

HELP What is the slope of the line?-example-1

2 Answers

5 votes

Answer:


\sf Slope(m)= (1)/(2)

Explanation:

Given:

The points are: (2,1) and (-2,-1)

To find:

Slope

Solution:

The slope of a line is a measure of its steepness. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate.

To find the slope of the line passing through the points (2,1) and (-2,-1), we can use the following formula:


\sf m = (y_2 - y_1)/( x_2 - x_1)

where:

m is the slope of the line

(x1, y1) and (x2, y2) are the coordinates of the two points

Substituting the coordinates of the two points into the formula, we get:


\sf m = (-1 - 1)/(-2 - 2)


\sf m = (-2 )/( -4)


\sf m = (1)/(2)

Therefore, the slope of the line passing through the points (2,1) and (-2,-1) is ½.

User Rayx
by
7.6k points
3 votes

Answer:

slope =
(1)/(2)

Explanation:

calculate the slope m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

let (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

substitute these values into the formula for m

m =
(1-(-1))/(2-(-2)) =
(1+1)/(2+2) =
(2)/(4) =
(1)/(2)

User Pritesh Shah
by
8.4k points

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