QuestionFind the slope of the line through and or state it's undefined. Describe the line's direction: vertical, rising, falling, or horizontal.
Studdy Solution
STEP 1
Assumptions1. We have two points in the Cartesian coordinate system (6,3) and (7,8)
. The slope of a line passing through two points (x1, y1) and (x, y) is given by the formula 3. If the denominator in the slope formula (x - x1) is zero, then the slope is undefined and the line is vertical.
4. If the slope is positive, the line rises from left to right.
5. If the slope is negative, the line falls from left to right.
6. If the slope is zero, the line is horizontal.
STEP 2
First, we need to find the slope of the line passing through the points (6,) and (7,8). We can do this by substituting the coordinates of the points into the slope formula.
STEP 3
Calculate the slope.
STEP 4
Now that we have the slope of the line, we can determine whether the line rises, falls, is horizontal, or is vertical.Since the slope is positive, the line rises from left to right.
The slope of the line passing through the points (6,3) and (7,8) is and the line rises from left to right.
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