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3 years ago

Please help I’m really struggling with this

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

A linear equation is written as $y=mx+b$ , "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

fenix001 [56]3 years ago

4 0

y = 1/3x + 4

Step-by-step explanation:

y = ax + b

b = the intercept with the y-as.

In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).

So, b = 4

a = slope or incline.

To easilly find "a", you can follow these steps:

1. You choose two "nice" poins.

2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.

3. The fraction a = y units/x units

1. Choose two nice point

Starting from (0,4) and going to the next "nice" point for example (3, 5).

2. Horizontal 3 units to the right, and 1 unit up.

3. a = y units/x units

a = 1/3

y = 1/3x + 4

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Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?

Aleks04 [339]

The slope of a line, denoted "m" is:

m=(y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points on the line.

m=(-4--3)/(9-5)

m=-1/4

So the slope is negative one quarter.

8 0

3 years ago

does the following system of equations have a solution if so find it. 2x+y+z= 4 x-y+3z= -2 -x+y+z= -2

saul85 [17]

I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).

Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system

- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.

Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.

Add this result to the first equation. The 2x terms will cancel, leaving you with the system

2y + 2z = -2
y + z = 4

This would be a good time to subst. -1 for z. We then get:

-2y - 2 = -2. Then y must be 0. y = 0.

Now subst. -1 for z and 0 for y in any of the original equations.

For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.

Then a tentative solution is (-3, -1, 0).

It's very important that you ensure that this satisfies all 3 of the originale quations.

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3 years ago

Cindy spends $85 a month on her cell phone plan. She has saved $1,105 to pay her phone bill. How many months will Cindy be able

True [87]

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Ben, Shaneeka, and Phil live on the same street. Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka. How far does

Norma-Jean [14]

Answer:

Shaneeka live from Phil 7/33 mile far.

Step-by-step explanation:

Given:

Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.

Now, to get how far does Shaneeka live from Phil.

So, by subtracting the distance from 6/11 mile north where Ben lives from Phil to 1/3 mile north where Ben lives from Shaneeka:

$\frac{6}{11} -\frac{1}{3}$

$=\frac{6\times 3 -1\times 11}{33}$

$=\frac{18-11}{33}$

$=\frac{7}{33}$

Therefore, Shaneeka live from Phil 7/33 mile far.

7 0

2 years ago

What is the solution to this equation 2/3x+1=1/6×-7

Alika [10]

Answer:

A . x= -16

Step-by-step explanation:

$\\\frac{2}{3}x+1=\frac{1}{6}x-7\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x+1-1=\frac{1}{6}x-7-1\\\\\frac{2}{3}x=\frac{1}{6}x-8\\\\\mathrm{Subtract\:}\frac{1}{6}x\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x-\frac{1}{6}x=\frac{1}{6}x-8-\frac{1}{6}x\\\\= \frac{1}{2}x=-8\\\\\mathrm{Multiply\:both\:sides\:by\:2}\\\\2\times \frac{1}{2}x=2\left(-8\right)\\\\x=-16$

7 0

3 years ago