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LekaFEV [45]
3 years ago
14

Write the slope-intercept form of the equation of each line​

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

First let's talk about the blue line.

You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.

We have thusly,

y=x+n

Now look at where blue line intercepts y-axis, -1. That is our n.

So the blue line has the equation of,

y=x-1

Next the black lines. The black lines are axes so their equations are a bit different.

First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

y=0x+0=0

Now we have y-axis. Does y axis have a slope? Yes but it is \infty. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

x=0

That is, every point of a form (0,a) lies on y-axis.

Hope this helps :)

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In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinate
MatroZZZ [7]

Answer:

C. 10 000

Step-by-step explanation:

If we called:

x = children who have been vacinated against rubella only

2x = children who have been vaccinated against mumps

y = children who have been vaccinated agains both

Children who have been vaccinated against mumps only = x - y

And we know that y = 2*(x-y)

=> 2y = 3x

y = 5000

There fore x = 7500

The number of children who have been vaccinated against rubella

= 2x - y = 2*7500 - 5000 = 15 000 - 5000 = 10 000

4 0
3 years ago
Find the area of the triangle belowunits given are cm, cm^2, cm^3
zloy xaker [14]

Answer:

A_T=150cm^2

Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:

A_T=\frac{1}{2}(b\times h)

Therefore in the information given we have the following:

\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}

Therefore the Area of this triangle is as follows:

\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}

Note! Units are centimeter-squared

4 0
1 year ago
Are these parallel, perpendicular, or neither?
Elina [12.6K]
Answer: I think it’s neither

Explanation:

The line is parallel unless the slope is the same and with a different y-intercept

The line are perpendicular unless the one of the slope is the negative reciprocal of the other.

And both equation didn’t meet any of the requirement.
5 0
3 years ago
A rhombus is ____ a quadrilateral.<br><br> A) Never<br> B) Sometimes<br> C) Always
Alchen [17]

Answer:

C

Step-by-step explanation:

A rhombus always has 4 sides, making it a quadrilateral.

Feel free to ask further questions..

5 0
3 years ago
Read 2 more answers
I know this is stupid but im lazy. <br> What four numbers equal 50.
Dennis_Churaev [7]
12.5 x 4... hope this helped!
7 0
2 years ago
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