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Amiraneli [1.4K]
3 years ago
13

Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5

Mathematics
1 answer:
Basile [38]3 years ago
6 0

Answer:

y=-5+19

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-1). When x of the line is 4, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

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alexira [117]

Answer:

80 feet

Step-by-step explanation:

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8 0
3 years ago
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I’ll send a picture of problem and graph I don’t know how to write it out on here.
JulsSmile [24]

• Given the table of values, you can identify these points:

(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

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y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

b=4

Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

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Using this point:

(1,8)

You get:

\begin{gathered} 8=m(1)+4 \\ 8-4=m \\ m=4 \end{gathered}

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8 0
1 year ago
A stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. How long are the two piece
marshall27 [118]

Hello from MrBillDoesMath!

Answer:

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Discussion:

Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and

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3P1 = 7             => divide both sides by 7

P1 = 7/3


Then P2 = 2 P1 - 2* (7/3) = 14/3

Thank you,

MrB

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Answer:

The answer is B

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