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krek1111 [17]
3 years ago
6

Write AN EQUATION of the line that passes through the given points (-1,4) and (2,-5)

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0
Answer: y = -3x + 1

step-by-step process
find the slope first using (y-y)/(x-x)
(4-(-5))/(-1-2) = 9/(-3)
m = -3

then use one of the points to find the y-intercept by putting it in y=mx+b, substituting m with -3 (aka the slope) as well
4 = -3(-1) + b
4 = 3 + b
4 - 3 = 3 + b - 3
1 = b

therefore, the equation for the line is: y=-3x+1
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Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
blsea [12.9K]
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4

At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5

-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5

This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
8 0
3 years ago
Read 2 more answers
Write the equation of the line that goes through each set of points------ (-1.6),(3-,2)
Maksim231197 [3]

Answer:

The equation that goes through this set of points is y = -x + 5

Step-by-step explanation:

In order to find this, we need to start by finding the slope. For that we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - -2)/(-1 - 3)

m = 4/-4

m = -1

Now that we have this, we can use the slope and a point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 6 = -1(x - -1)

y - 6 = -1(x + 1)

y - 6 = -x - 1

y = -x + 5

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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I would put a decimal or dot to the right of 6 and count 8 zeros places to the right.

6. 0 0 0 0 0 0 0 0.

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2 years ago
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Step-by-step explanation:

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