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Kaylis [27]
3 years ago
12

How to write the slope-intercept form of the equation of the line through the given points: (-1,-3) and (-4,5)

Mathematics
2 answers:
posledela3 years ago
8 0
You can use the formula: y=mx+b; where m=slope and y=y-intercept.

1.) To find the slope: use the formula y1-y2/x1-x2, thus 5-(-3)/(-4)-(-1). The slope is -8/3.
2.) Solve using proportions: slope=y1-y2/x1-x2
therefore: -8/3=(y-(-3))/(x-(-1))=
3y+9=8x-8
3.) Isolate the y variable by subtracting the 9 from both sides and dividing by three: y=(-8/3)x-(17/3)

zysi [14]3 years ago
4 0
The slope-intercept form of a line is:

y=mx+b, where m=slope and b=y-intercept (value of y when x=0)

First you must find the slope, or m value.

m=(y2-y1)/(x2-x1), which is the change in y divided by the change in x.  In this case:

m=(5--3)/(-4--1)

m=(5+3)/(-4+1)

m=8/-3

m=-8/3

So far our line is:

y=-8x/3+b, we can now solve for the y-intercept, or b, using any point on the line, I'll use (-4,5):

5=-8(-4)/3+b

5=32/3+b

15/3=32/3+b

15/3-32/3=b

-17/3=b

So now we know the value for both terms in our line:

y=(-8x-17)/3
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Solve the system of linear equations by substitution.<br> 3x + y = -9<br> y=5x+7
11Alexandr11 [23.1K]

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

8 0
3 years ago
Help asap please !! Thank you soooo much t who ever helps.
PSYCHO15rus [73]

A) 2 2/9

The answer would of course be positive because two negatives make a positive.

It would only be 6 4/9 if you added when here it states the obvious for you to subtract.

Hope this helped PLEASE MARK BRAINLIEST!!

6 0
3 years ago
Please help, very confused
miss Akunina [59]

Answer:

1.

-3x + 8y = -5

6x + 2y = -8

Set the equations to a common variable.

-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8

6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4

Set the equations equal to each other.

3/8x - 5/8 = -3x - 4

Combine like terms.

3x + 3/8x = -4 + 5/8

3.375x = -3.375

Divide by 3.375

x = -1

Plug x back in to find y.

-3x + 8y = -5

-3(-1) + 8y = -5

3 + 8y = -5

8y = -8

y = -1

answer: (-1, -1)

2.

3x + 2y = -16

-3x - 8y = 46

Set the equations to a common variable.

3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8

-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4

Set the equations equal to each other.

-3/2x - 8 = -3/8x - 23/4

Combine like terms.

-9/8x = 9/4

or

-1.125x = 2.25

Divide by -1.125

x = -2

Plug x back in to find y.

3(-2) + 2y = -16

-6 + 2y = -16

2y = -10

y = -5

answer: (-2, -5)

6 0
3 years ago
Read 2 more answers
What is the absolute value of the square root of 5 minus 5?
OLEGan [10]

-2.7639320225 is the exact when estimated -3 hope this helped if can pls mark as brainliest have a great day!

6 0
3 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 100%
Oduvanchick [21]

Answer:

you will 180 pints of the 100% juice and 540 pints of the 40% juice

Step-by-step explanation:

in order to get a 55% mixture you must combine 1 100% and 3 40%

100 + 120 = 220 then divide by 4 and you get 55% juice

now you must use 180 100% juice and 540 40 % juice to make 180 pints

you need this because the ratio is 3 40% to every 1 100%

5 0
3 years ago
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