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kicyunya [14]
2 years ago
8

Which equation represents the line that passes through the points (-4,4) and (8,-2)?

Mathematics
1 answer:
Helen [10]2 years ago
8 0

Answer:

y=-\frac{1}{2} x +2

Step-by-step explanation:

m=\frac{y2-y1}{x2-x1} = \frac{-2-4}{8-(-4)} =\frac{-6}{12} = -\frac{1}{2}

So for a movement along the x-axis left to right by 2 the y-axis drops by 1

This the equation at this point is =

y=-\frac{1}{2} x+c

-

Pick any of the two points (x,y) . let's choose ( 8 , -2 )

y2=-\frac{1}{2} x2+c \\\\..\\\\-2=(-\frac{1}{2} )(8)+c\\-2=-4+c\\\\..\\\\c=2

SO ..

y=-\frac{1}{2} x+2

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Ruby bought 2 chicken wings for $4. What was the cost of the wings in dollars per wing ?
AnnZ [28]

Answer:

$8

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If a regression analysis shows an R factor of 0.15, it is safe to assume a perfect positive relationship between cost and volume
saw5 [17]

Answer:

a very weak relationship between cost and volume

Step-by-step explanation:

The R factor is used to access the strength of the relationship between a dependent and independent variable. The R factor ranges between - 1 and 1. With negative values depicting a negative linear relationship and positive values meaning a positive relationship. The closer the R factor is to - 1 or + 1, the greater the strength, a value of 0 means, no correlation exists.

Hence, a R factor of 0.15 depicts a positive but very weak relationship between cost and volume as the R value is close to 0.

7 0
3 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 2.5 miles to km.
Digiron [165]

Answer:

4km

Step-by-step explanation:

In order to find the answer to this question you must simply divide.

5m=8km

2.5m=4km

8\div2=4

5=2.5+2.5

=4km

Hope this helps

7 0
3 years ago
Which number is a prime number??<br><br> 111<br> 121<br> 131<br> 141
Fynjy0 [20]
The prime number you are looking for is 141
5 0
3 years ago
PLEASE HELP!
Alexus [3.1K]

Answer:

4x+5y-34=0

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

My goal is to put in in this form first.  Then I will aim to put it in general form, ax+by+c=0.

So let's give it a go:

m is the change of y over the change of x.

To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference.  Like this:

( 1 , 6)

-(6 , 2)

----------

-5   4

So the slope is 4/-5 or -4/5.

So m=-4/5.

Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].

6=-4/5 (1)+b

6=-4/5    +b

Add 4/5 on both sides:

6+4/5=b

30/5+4/5=b

34/5=b

So the y-intercept is 34/5.

The equation in slope-intercept form is:

y=-4/5 x + 34/5.

In general form, it is sometimes the goal to make all of your coefficients integers so let's do that.  To get rid of the fractions, I'm going to multiply both sides by 5.  This clears the 5's that were on bottom since 5/5=1.

5y=-4x+34

Now add 4x on both sides:

4x+5y=34   This is standard form.

Subtract 34 on both sides:

4x+5y-34=0

8 0
3 years ago
Read 2 more answers
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