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arsen [322]
3 years ago
15

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Mathematics
1 answer:
Vinvika [58]3 years ago
4 0
1. m
2. One set of ordered pairs
3. b

To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).

First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.

This is why #1 is m. M is the letter used when finding slope.

To find m, I plug in the two sets of ordered pairs.

m = (8-0)/(5-1)
m = 8/4
m = 2

An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

Here, you have just solved for m and know it equals 2. Plug that value in for m.

y = 2x + b

To solve for b, plug one ordered pair in for x and y. I will use (1,0)

0 = 2(1) + b
0 = 2 + b
-2 = b

Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
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Hello : 
<span>–9.5 + 6x ≥ 42.1
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3 years ago
What is equivalent to 3 to the negative 2nd power
VladimirAG [237]
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When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base. 
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3 years ago
If 2a+4b=5 and a is equal to three times b, what is 3a?
IrinaK [193]

Answer:

3a=4.5

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multiply

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add

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divide by 10

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Hope this helps!

7 0
2 years ago
Find the measure of the ndicaited angle to the nearest degree 35 and 38
12345 [234]

The measure of the indicated angle to the nearest degrees is 23 degrees.

<h3>How to find angle of a right angle triangle?</h3>

The angle of a right angle triangle can be found as follows:

Therefore, the angle can be found using trigonometric ratios as follows;

cos ∅ = adjacent / hypotenuse

Therefore,

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6 0
1 year ago
At a grocery store the manager randomly selects 20 cartons of eggs, he finds 3 cartons with at least 1 broken egg. If the refrig
ivann1987 [24]

Answer:

You would expect 75 cartons with at least 1 broken egg.

There are likely to be 222 DVD players that are defective.

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Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players.  In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.

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DVD Players:  \frac{defective}{#players}=\frac{3}{50}=\frac{x}{3700}

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