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14 votes
14 votes
What is the slope of the line that passes through points A(-6, -2) and B(3, 5).

User RPS
by
2.8k points

1 Answer

13 votes
13 votes

Answer:

7/9

Explanation:

The slope of the line between two given points is found using the slope formula:

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

m = (5 -(-2))/(3 -(-6)) = (5+2)/(3+6) = 7/9

The slope of the line is 7/9.

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Additional comment

The slope of a line is the same everywhere, so the slope of the segment from (x, y) to A is the same:

(y -(-2))/(x -(-6)) = 7/9 . . . . use the slope equation

9(y +2) = 7(x +6) . . . . . . . multiply by 9(x+6)

9y +18 = 7x +42 . . . . . . eliminate parentheses

7x -9y = -24 . . . . . . . subtract 9y+42

This is the standard form of the equation for the line through the two points. The slope-intercept form would be ...

y = 7/9x +8/3

User Doon
by
3.3k points