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DochEvi [55]
3 years ago
7

With y-intercept of −3 and an x-intercept of −4.5. What's the slope-intercept form?

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

y=0.667x-3

Step-by-step explanation:

To find the slope-intercept form, first, we'll need the slope. Luckily for us, since we know the intercepts of the line, we've already found them.

(0, -3) and (-4.5, 0)

Next, we can plug this into the slope formula.

\frac{0+3}{-4.5-0}=\frac{-3}{4.5}

We can't really mix fractions and decimals like this, so we'll just divide -3 by 4.5, which rounds up to about -0.667 from -0.66666666666. Note that the 6 repeats on for a long time- depending on the preferences of your teacher, they may want you to draw a wavy line that notates the number as having a repeating value. Now, we've got slope.

m=-0.667

Our slope-intercept form is y=mx+b.

We'll take one of our intercepts- in this case, I'll use (0, -3)- and plug them into the slope-intercept formula.

y+3=-0.667(x-0)

We can simplify the equation from there.

y+3=-0.667x

y=-0.667x-3

Just remember that our slope can vary depending on how you interpret the -0.666666666666.

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Rafel counted a total of 40 white cars and yellow cars.there were 9 times as many white cars as yellow cars. how many white cars
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Let w bet the number of white cars and y the numbers of yellow cars.
"Rafael counted a total of 40 white and yellow cars" So w+y = 40.
"There were 9 times as many white cars as yellow cars" So 9Y = W

We get the system:
w+y=40 (1)
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In equation (1), let's replace w by it's value from equation (2) since w=9y.
We get: 9y+y = 40
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y=4
So there's 4 yellow cars.

In equation (1), let's replace y by it's value
w+4=40
w=40-4
w=36

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You can re-check your answer:
4+36=40 (w+y=40)
9*4=36 (9y=w)
The answer has been approved.

Hope this Helps! :)
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