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r-ruslan [8.4K]
3 years ago
5

Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
To write the equation of a line, we need 1) a point on the line 2) it's slope For the point, we just substitute in the equation of the line intersecting it with x=3 (because they share this point) Therefore, 2*3-3y=6 --> That gives y=0 Then the point is (x1,y1)=(3,0) We already have the slope : m=2 Now we should use this relation for the required line equation (y-y1) / (x-x1) = m Then (y-0) / (x-3) = 2 Then y = 2*x - 6 And that is the required form where 2 is the slope and -6 is the intercept
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Whats 1,112,433 rounded to the nearest ten thousand
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1,112,433 rounded to the nearest 10,000 is 1,110,000.
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WILL MARK BRAINLIEST! NO JOKE-Y ANSWERS! THIS IS WORTH 100 POINTS!
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Step-by-step explanation:

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Is the point (-5,1) one the line y=-2x-9?
Lunna [17]
Y = -2x - 9

(-5,1)

y = -2(-5) -9

y = 10-9

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1 = 1

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6 0
3 years ago
What’s the awnser(can someone do these for me i’m begging you my parents are gonna kill me)
puteri [66]

Answer:

-3/2

(2x-14)/3

(-2,-6)

Step-by-step explanation:

I solved the first one for you already ( -3/2)

To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative  reciprical (take the fraction, flip it, and apply a negative sign to it)

If you do this to -3/2 you get 2/3

If we follow our y=mx+b equation from before we (so far) have

2/3x+b=y

which means that we just need to solve for b

We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b

we have

(2/3)*7+b=0

Solve for B

14/3+b=0

b= -14/3

Which means our equation looks like this

(2x-14)/3

our two equations look like this

(-3/2)x-9

(2x-14)/3

We need to find where their coordinates are the same (where they intersect)

We can do this by setting them equal to each other and then solving for x

we have

(-3/2)x-9=(2x-14)/3

solve for x

-4.5x-27=2x-14

-13= 6.5x

x= -2

Now that we know what x equals we can plug this into any of our two beginning equations

(-3/2)*-2-9=y

3-9=y

-6=y

Which means our coordinates are (-2,-6)

if you have any questions let me know

6 0
3 years ago
A factory puts 5/8 of a gallon of vinegar into each batch of salad dressing. How many gallons of vinegar will be used in 2 batch
agasfer [191]

Answer:

1 1/4

Step-by-step explanation:

\frac{5}{8} +\frac{5}{8}=\frac{10}{8}= 1 \frac{2}{8}= 1\frac{1}{4}

five eighths plus five eighths equals ten eighths simplified to one and two eighths and simplified again to one and one fourth.

6 0
3 years ago
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