Answer:
7/9
Step-by-step 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
