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snow_lady [41]
2 years ago
15

What is an equation of the line that passes through the points (7, 4) and ( -5, 4)?

Mathematics
1 answer:
Sedaia [141]2 years ago
6 0

Answer:

y = 4

Step-by-step explanation:

To find the slope, you plug the coordinates into the slope formula.

y2 - y1/ x2 - x1

= 4 - 4/ -5 - 7

= 0

The slope is 0.

To find the y-intercept, y = 0x + b

4 = 0(7) + b

4 = 0 + b

4 = b

The equation is y = 4

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What is a necessary step for constructing perpendicular lines through a point off the line?
Nostrana [21]

Answer:

Find another point on the perpendicular line.

Step-by-step explanation:

Given an original line "m", and a point off the line "Q", in order to construct a second line "p", meant to be perpendicular to "m" through the point "Q", fundamentally, the only truly necessary step to construct a perpendicular line through is to find another point on the yet-to-be-found perpendicular line.

Most often, this is accomplished by exploiting the fact that "p" is the set of all points that are equidistant from any pair of points that are symmetric about "p".

Since the symmetry must be about "p", and we don't even know where "p" is, one often finds two points on "m" that are equidistant from "Q".

This can be accomplished by adjusting a compass to a fixed radius (larger than the distance from "Q" to "m"), and making an arc that intersects "m" in two places.  Those two places will be equidistant from "Q", and are simultaneously on line "m".  Thus, these two points, "A" & "B" are symmetric about "p".

Since "A" & "B" are symmetric about "p", they are equidistant from "p", and are on "m".  One could try to find the point of intersection between "p" and "m" through construction, but this is unnecessary.  We need only find a second point (besides "Q") that is equidistant from "A" & "B", which will necessarily be a point on "p", to form the line perpendicular to "m".

To do this, fix the compass with any radius, and from "A" make a large arc generally in the direction of "B", and make the same radius arc from "B" in the direction of "A" such that the two arcs intersect at some point that isn't "Q".  This point of intersection we can call point "T", and the line QT is line "p", the line perpendicular to the original line, necessarily containing "Q".

8 0
2 years ago
The sum of 5xy and (2xy + xy) is
AleksAgata [21]
8xy that is the answer
4 0
3 years ago
At Smith’s Bike Rentals, it cost $27 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use
lilavasa [31]

Answer:

$4.50 per hour

Step-by-step explanation:

Step 1: 27 divided by 6 is 4.50

Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27

8 0
3 years ago
Read 2 more answers
Answer quick for brainliest.
Alona [7]

Answer:

the slope is 5 the y intercept is 5

Step-by-step explanation:

slope intercept form makes this true

please mark brainliest :)

3 0
3 years ago
Read 2 more answers
What’s that answer
ziro4ka [17]
A is the answer if I calculated right ;)
5 0
2 years ago
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