Find the slope of the line through the points (-5,2) and (-7,2).

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samhouston's profile pic

samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted on

You don't actually need to use the slope formula to know the slope of the line through the points (-5, 2) and (-7, 2).

Because both points have the same y-coordinate, you know the line is a horizontal.

All horizontal lines have a slope of 0.

Therefore, the slope of the line is 0.

As an additional note, if two points have the same x-coordinates, then the line is vertical and has an undefined slope.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll recall the identity that gives the slope of a line that is passing through two points:

m = (y2-y1)/(x2-x1)

We'll identify the coordinates x1 = -5, x2 = -7, y1 = 2 and y2 = 2

We'll plug in the values of the coordinates and we'll get:

m = (2-2)/(-7+5)

m = 0/-2

m = 0

The line is parallel to x axis and the requested slope is m = 0.

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