QuestionFind the slope for points (0, a) & (b, 0) and (-a, 0) & (0, -b). State if the line rises, falls, horizontal, or vertical.
Studdy Solution
STEP 1
Assumptions1. All variables represent positive real numbers.
. The points for problem73 are (0, a) and (b,0).
3. The points for problem74 are (-a,0) and (0, -b).
STEP 2
The slope of a line passing through two points and is given by the formula
STEP 3
For problem73, plug in the given points into the slope formula.
STEP 4
implify the slope equation for problem73.
STEP 5
For problem74, plug in the given points into the slope formula.
STEP 6
implify the slope equation for problem74.
STEP 7
The slope of a line indicates whether the line rises, falls, is horizontal, or is vertical. If the slope is positive, the line rises. If the slope is negative, the line falls. If the slope is zero, the line is horizontal. If the slope is undefined, the line is vertical.
STEP 8
For problem73, the slope is , which is negative because both a and b are positive real numbers. Therefore, the line falls.
STEP 9
For problem74, the slope is , which is negative because both a and b are positive real numbers. Therefore, the line falls.
The slope of the line passing through the points (, a) and (b,) is and the line falls.
The slope of the line passing through the points (-a,) and (, -b) is and the line falls.
Was this helpful?