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Ratling [72]
3 years ago
7

Given the point (3,4) and the slope of 6, find Y when X =27

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
1) we find out the equation of the line.
Given a point (x₀,y₀) and the slope m, the slope-point form is:

y-y₀=m(x-x₀)

Data:
(3,4)
m=6

Therefore:

y-4=6(x-3)
y-4=6x-18
y=6x-18+4
y=6x-14

2) we find out y, when x=27
y=6*(27)-14
y=162-14
y=148

Answer: When x=27, then y=148.
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1/2

Step-by-step explanation:

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Answer:

Step-by-step explanation:

In order to solve all of these problems, you have to first create an equation. The typical format for an equation looks like this: y = mx + b

m is the slope and b is the y-intercept.

In order to create an equation, you have to find the slope and y-intercept of the function. You can find the slope using this expression: \frac{y2-y1}{x2-x1} To find the y-intercept, you use a known point and the slope in the equation to solve for b.

Now that we know this, we can solve the problems.

1a.

To create the equation, let's find the slope using points (1, 15) and (2, 30)

\frac{30 - 15}{2 - 1} = 15/1 = 15

The equation now looks like this: h = 15w + b

Let's use the point (1, 15) from the table to find b

15 = 15(1) + b

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subtract 15 from both sides the isolate the b

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There is no y-intercept for this equation, so the equation looks like this:

h = 15w

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h = 15(9)

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2a. We'll use the points (1, 8) and (2, 16) to find the slope

\frac{16 - 8}{2-1} = 8/1 = 8

The slope is 8.

Since it's impossible to sell any houses in 0 months, we already know that there is no y-intercept, so the equation looks like this:

h = 8m

2b. Put the value of 15 inside the equation and solve.

h = 8(15)

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3a. We'll use the points (1, 35) and (2, 70) to find the slope.

\frac{70 - 35}{2 - 1} = 35/1 = 35

The slope is 35.

It's impossible to see any movies in 0 months, so there is no y-intercept. The equation looks like this:

c = 35m

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The slope is 8.

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c = 8h

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