The slope of a line often referred to as the () is the rate of change in a line. It can be found using the following formula.
Where () and (
) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.
1.
(0, 2), (-2, 1)
2. 2
(-2, -1), (0, 3)
3. 4
(1, 0), (2, 4)
4. 1
(6, 2), (2, -2)
5.
(-1, 1), (4, 4)
6.
(-7, 4), (2, 1)
7. 0
(5, -3), (-2, -3)
8.
(-3, 2), (2, 7)
9. 8
(2, 16), (3, 24)
Answer:
x = 72.11 feet.
h = 35.7 feet.
Step-by-step explanation:
3) In the first question, we are given a ladder inclined to the wall of the house.
Now. the ground, the ladder, and the wall form a right angle triangle whose hypotenuse is the ladder.
Now, the height of the top of the ladder along the wall is 40 ft and the base of the ladder is 60 ft distant from the wall.
If the length of the ladder is x, then applying Pythagoras Theorem
⇒ x = 72.11 feet {Neglecting the negative root} (Answer)
4) Again. a ladder of length 50 ft is inclined to the wall of a house.
The bottom of the ladder is 35 ft away from the bottom of the wall.
If the height of the window along the wall is h
then, applying the Pythagoras Theorem we have
⇒
⇒ h = 35.7 feet. {Neglecting the negative root} (Answer)