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Snowcat [4.5K]
4 years ago
7

A line passes through (2, −1) and (4, 5).

Mathematics
1 answer:
mash [69]4 years ago
6 0
The answer to the first problem is the top left corner because it is the only one with a -3 y-intercept and that's in the problem

To find the answer of the second problem you find the slope of the two points with the formula y2-y1 divided by x2-x1 and you just plug it in so 5+1 (the minus signs cancel out and turn into positives) divided by 4-2 and which is 6/2 which is 3 is your slope. then you could plug this information into a point slope form using either point I'm just going to choose the one with no negatives so plugging this in would be y-5=3(x-4) then you distribute the 3 and that gives you y-5=3x-12 then
                               +5       +5 add five to both sides of the equation and get
                             y=3x-7 and then you can put that into standard form which would be -3x+y=-7 and your answer would be the second one.
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4 years ago
Which function BEST expresses the linear relationship displayed by the scatter plot?
Harrizon [31]

Answer:

C

Step-by-step explanation:

We want a line of best fit, which means we want to create a line that the data points will lie closest to.

One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.

Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:

(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4

Eliminate A and B.

Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.

The answer is C.

6 0
3 years ago
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hello! i struggle with math A LOT so if u guys can help me with these questions with the work i would appreciate a lot
elena-s [515]
Pretty sure 1 is 6/8
4 0
4 years ago
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What is the length of AC?<br><br><br> 3 ft<br><br> 4 ft<br><br> 9 ft<br><br> 18 ft
iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

\frac{BM}{BA}=\frac{MN}{AC}

\frac{BM}{BM+MA}=\frac{MN}{AC}

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\frac{4}{8}=\frac{9}{AC}

4AC=72\implies AC = 18\text{ ft}

Thus, The length of AC is 18 ft.

5 0
3 years ago
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Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for ass
Inessa05 [86]

Answer:

The probability that the next customer will purchase a wireless phone is 0.1

Step-by-step explanation:

The relative frequency approach states<em> how often something happens divided by all outcomes</em>.

In the example some of the customers entering a supermarket purchased a wireless phone.  

Here all outcomes are 500 customer entering supermarket. And among these outcome purchasing wireless phone happened 50 times.

Then the probability that the next customer will purchase a wireless phone is

\frac{50}{500}.

If we divide both sides by 50, we get \frac{1}{10}=0.1

3 0
3 years ago
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