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Gnom [1K]
2 years ago
13

Which equation describes the line with a slope of -3 that contains the point (2,4)?

Mathematics
2 answers:
Ilia_Sergeevich [38]2 years ago
8 0

Answer: y = 2x - 11

Step-by-step explanation:

A linear equation has the following form.

y = a . x + b

where,

y: independent variable

a: slope

x: independent variable

b: y-intercept

The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.

y = a . x + b

-3 = 2 . 4 + b

b = -11

The linear equation is

y = 2x - 11

Alexandra [31]2 years ago
4 0

Answer:

C. is the correct option

Step-by-step explanation:

When we find the equation using the point and slope formula, we get y=-3x+10

As you can see, that doesn't match any of the answers, since it is in the point-slope formula.

We can start solving all the equations to rule out the correct one, but to save yourself from reading all of this, I'll just do there C.

For this equation, we will distribute the 3, and then add 4 to both sides.

y-4=-3(x-2) --->  y-4=-3x+6 ---> y-4(+4)=-3x+6(+4) ---> y=-3x+10

This leads back to the original equation so we know it is correct.

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Brian needs to start planning for an upcoming move. He is choosing two different size boxes to pack the majority of his stuff. T
GenaCL600 [577]

Solution:

Given,

Volume of the-

First cube box=1728 in³

Second cube box=13824in³

We know that volume of cube =a³

So for the first box

a³= 1728 in³

a= 12 in

Now, surface area of the first box

6a²= 6×(12)²

= 864 in²

and for the second box

b³= 13824 in³

b= 24 in

Now, the surface area of the second box

6b²= 6×(24)²

= 3456 in²

Now, the ratio of the surface area of first box to the second box will be

864:3456

=1:4

The surface area of the larger of two boxes is

3456 in²

5 0
2 years ago
The table below shows the number of barrels of oil produced per day by some countries.
gogolik [260]

Answer:

Simple,the answer would be 93200

Step-by-step explanation:

You move your decimal point backwards by the power e.g 10^6 u move backwards 6 times

5 0
2 years ago
A line passes through the point (-8, 2) and has a slope of -5/4.
UNO [17]

Answer:

y=-5/4x-8

Step-by-step explanation:

2=-5/4(-8)+b

2=10+b

2-10=10-10b

-8=b

8 0
3 years ago
Find:x , if |x |=6; |x |=3.2; |x |=0<br> * like x= ...
lukranit [14]

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

6 0
2 years ago
A roller coaster climbs 180 feet above ground level then drops 60 feet .How far above ground level is the roller coaster?
RideAnS [48]

Answer:

120 deet above ground level

Step-by-step explanation:

180 - 60 = 120

7 0
3 years ago
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