Write a system of linear equations.Write two-variable equations in slope-intercept form.

Answer:

A linear relation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

And if a line passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Now let's look at our lines.

The left one passes through the points (0, -3) and (-2, 0)

Then the slope of this line is:

a = (0 - (-3))/(-2 - 0) = 3/-2 = -(3/2)

Then the line will be something like:

y = -(3/2)*x + b

Knowing that this line passes through the point (0, -3), we know that when x = 0, we must have y = -3

Then:

-3 = (-3/2)*0 + b

-3 = b

So the first linear equation is:

y = -(3/2)*x - 3

Now let's look at the second line, this one passes through the points (0, 2) and (1, 0)

Then the slope of this line is:

a = (0 - 2)/(1 - 0) = -2

And we can write the line as:

y = -2*x + b

Knowing that this line passes through the point (0, 2), we know that when x = 0 we must have y = 0, replacing that we get:

2 = -2*0 + b

2 = b

Then the equation of this line is:

y = -2*x + 2

Now that we know both equations we can write our system as:

y = (-3/2)*x - 3

y = -2*x + 2

To solve it, we need to remember that y = y

then:

(-3/2)*x - 3 = y = -2*x + 2

(-3/2)*x - 3  = -2*x + 2

We can solve this for x.

2*x - (3/2)*x = 2 + 3

(1/2)*x = 5

x = 5((1/2) = 5*2 = 10

And to find the y-value, we need to input this x-value in one of the equations:

y = -2*10 + 2 = -20 + 2 = -18

Then the solution of the system is the point (10, -18)

The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.

3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7

Use the data to fill in the box-and-whisker plot below.

Point L is located at (-3,-6) where is L after a reflection over the y-axis

Try to find this answer! Thank you!

The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02

Find the value of x in the parallelogram below.

Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..

What is the length of missing side Y Options are on photo

solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation

Find the side length of a square with an area of 1521 m².​

2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x​

ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP

100Points! show work

Question 7 (3 points)
Cris borrowed $10,000 at an interest rate of 6% compounded daily. What is her approximate balance at the end of 4 years?

A $14,100
B $14,400
C $11,800
D $13,500
E $12,700

No
© A
A cube
side 4cm has the same
as a cone with diameter 7cm. calculate
correct to the nearest cm,
the
گج
the height
heig
cone,​

Find the missing angle

Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)

Determine whether the figure has line, point, and/or rotational symmetry.

Leo deposited $3,316.25 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?

Express your answer rounded correctly to the nearest cent. Do not include units on your answer.

please help

Do think it is A, B, C, D?

A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units

Determine the minimum sample size required when you want to be99 ​% confident that the sample mean is within one unit of the population mean and o=14.8 . Assume the population is normally distributed.
A confidence level 99%
requires a sample size of

4) What is the perimeter of a square that has an area of 262.44 feet?

A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?

Plz help me by solving this problem and showing how you got it

help please. Harry has raised $276 by selling 23 equally priced boxes of apples for the choir fund-raiser. Which of the following equations can be used to find the price, x, of each box of apples?

x − 23 = 276
x + 23 = 276
23x = 276
x ÷ 23 = 276

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Chow do I solve 6w - 6 = 54

whats the absolute value of 23

sorry for the bad picture. I’m confused on how to solve this as it feels like I don’t have all the information needed.

Anyone know how to answer this question