QuestionFind the slope of the line through points and , and state if it rises, falls, is horizontal, or vertical.
Studdy Solution
STEP 1
Assumptions1. We have two points, (-1,3) and (,4), through which a line passes.
. We need to find the slope of this line.
3. The formula to calculate the slope (m) between two points (x1,y1) and (x,y) is given by
STEP 2
Plug in the given values for the points into the slope formula.
STEP 3
implify the expression in the numerator and the denominator.
So, the slope of the line passing through the points (-1,3) and (2,) is .
STEP 4
Now, we need to determine whether the line through the points rises, falls, is horizontal, or is vertical.1. If the slope is positive, the line rises.
2. If the slope is negative, the line falls.
3. If the slope is zero, the line is horizontal.
4. If the slope is undefined (i.e., the denominator in the slope formula is zero), the line is vertical.
STEP 5
Since the slope of the line is positive (), the line rises.
So, the slope of the line passing through the points (-1,3) and (2,4) is and the line rises.
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