What is the equation in point slope form of the line that passes through the point (-1,-3) and has a slope of 4?

Mathematics

1 answer:

kow [346]2 years ago

5 0

Answer:

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (- 1, - 3 ) , then

y - (- 3) = 4(x - (- 1) ) , that is

y + 3 = 4(x + 1)

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A stereo system is being installed in a room with a rectangular floor measuring 19 feet by 12 feet and a 7-foot ceiling. The st

krek1111 [17]

Answer:

The shortest length of wire that can be used is 29.47 ft.

Step-by-step explanation:

To solve this problem we can follow the following steps:

1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.

$L = \sqrt{12^2 + 19^2}\\\\L= 22.47\ ft$

2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. <em>Observe the attached image</em>

3) The final distance (d) is:

$d = 22.47\ ft + 7\ ft\\\\d = 29.47\ ft$