What is the slope of the line passing through (7, -2) and (4,-3). What is the rise of that slope?

1 Answer
Lil Del
Oct 29, 2016

The slope of this line is #1/3#, and the rise of this slope is #+1#.

Explanation:

Given two points on a line with coordinates #(x_1, y_1)# and #(x_2, y_2)#, the slope of the line, #m#, is found using the formula

#m = (y_2 - y_1)/(x_2 - x_1)#

Since we have two points #(7, -2)# and #(4, -3)#, we can substitute these coordinates into the slope formula and simplify the expression to obtain the slope of this line.

#m = (-3 - -2)/(4 - 7) = (-1)/(-3) =1/3#

So the slope of the line is #1/3#.

As for the second question, slope is often defined as "rise over run." Therefore the 'rise' of this slope is #+1#.

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