# Hotmath

Calculate the slope of the line passing through the given points and check if the line rises, falls, is horizontal, or is vertical.

(0, –2) (2, 8)

Calculate the slope of the line passing through the given points and check if the line rises, falls, is horizontal, or is vertical.

(–9, –6) (7, –2)

Calculate the slope of the line passing through the given points and check if the line rises, falls, is horizontal, or is vertical.

(3, –9) (–3, 9)

Graph the line passing through the point
*
P
*
(0,3) and having slope,
*
m
*
= 1.

Also find the coordinates of two other points on the line.

Graph the line passing through the point
*
P
*
(4, –2) and having slope,
*
m
*
= –3.

Also find the coordinates of two other points on the line.

Graph the line passing through the point
*
P
*
(3, –4) and slope,
*
m
*
= 1/3.

Also find the coordinates of two other points on the line.

Graph the line passing through the point
*
P
*
(0, 0) and slope,
*
m
*
= 0.75. Also find the coordinates of two other points on the line.

Graph the line passing through the point
*
P
*
(3,2) and slope,
*
m
*
= 0.

Also find the coordinates of two other points on the line.

Find the value of
*
k
*
so that the lines passing through the points (
*
k
*
+ 3,
*
k
*
– 3) and (
*
k
*
, –
*
k
*
) has slope – 2.

Find the value of
*
k
*
so that the lines passing through the points (5,
*
k
*
) and (–3, |
*
k
*
|) has slope –3.

Compare the steepness of the given lines:

Line
*
a
*
passing through (–4, 3) and (2, 5)

Line
*
b
*
passing through (4, –5) and (9, 3)

Compare the steepness of the given lines:

Line
*
a
*
passes through (1, 12) and (–4, –13)

Line
*
b
*
passes through (–3, –18) and (0, –3)

Are these lines parallel? Are they perpendicular?

Compare the steepness of the given lines:

Line
*
a
*
passes through (4, –11) and (19, 2)

Line
*
b
*
passes through (8, 3) and (–10, 9)

Are these lines parallel? Are they perpendicular?

A ramp to provide handicapped people access to a certain building was constructed with a slope of 10%. If the entrance to the building is 5 ft above ground level, how long should the base of the ramp be?

The Leaning Tower of Pisa was 180 feet tall when it was constructed. Assuming that one side of the base has sunk 2 feet into the ground causing the top of the tower to lean 15 feet off–center, approximate the slope of the leaning side of the tower.