Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3

Answer:

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.  

Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.  

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula,  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the  chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]

So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].

The Matching is:

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We know the slope- intercept form

y= mx+ b

where m is the slope.

For y= 5x+ 2 the slope is 5.

and, for y= 3x+ 3 the slope is 3.

and, for y= 2x+ 3 the slope is 2.

For Graph 1, the slope is 5/1= 5

and, For Graph 2, the slope is 6/2= 3

and, For Graph 3, the slope is 6/3 = 2

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

2m = 82


Question Options:

add 2; m = 41

subtract 2, m = 41

multiply by 2; m = 41

divide by 2; m = 41

Answer this correctly and I will give u brainslist and this is worth 15 points

I just randomly guessed but could someone help plz-

Y=2
2x+y=8

Looking for some help!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

This to me makes no sense but i wanna see if people know this +100 point question;

FOLLOW THE CORRECT STATEMENT, IN ORDER

please figure out how to do the problem bellow, and go below the project and see until the 8th ppi.






The following 8x8-1+9-90+1000-00.89=______? THIS ANSWER IS REQUIRED*



Take the following answer above and figure out the question; _____+4005-00000.98- 400+1=___?

Bryan has a collection of baseball cards which he shares equally with his brother, Jude. Bryan also received two cards from his friend, Gene. If Bryan has 8 baseball cards now, how many cards did he originally have in his collection?

Ocean waves are hitting a beach with a frequency of 0.100 Hz. Their average wavelength is 15.0 m. What is their average speed?

Henry earned $558.40 for working 32 hours. What is Henry's hourly
wage? Round to the nearest cent.

Shade two or more squares so that this grid has rational symmetry of order 4.

Which of the following shows the factored form of x2 + 7x – 8?​

Would you rather, $20 off your entire purchase or 20% off your entire purchase?
(I need at least 2 good reasons why, please help!) < 3

GAtyyyyyrtrrreererwrqweqweqweqweqweqdew

Karla says following table represents a function,but Robert does not agree Who is correct

How many angles does a parallelogram have?

2√63
Simplify
Bsbahajjssjjxjsjsjj

OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?

Find each angle measure. ( Diagrams are not drawn to scale.)​

can you help me pls it's only 3 question's

To investigate housing needs in the future, a town planning committee
created a model to help predict the growth of the population of the town. The
data are shown in the table.

Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?

-4x² – 26 + 7x – 6x² + 10 -12x =

Find the distance between a and b.

​

a = 9.21, b = –5.51

​

Find the area of the figure below.

Which of the following is NOT equivalent to (3x – 12)(x + 4)?
3(x2 – 8x + 16)
3(x2 - 16
3x2 - 48
3x(x + 4) – 12(x + 4)

Elmer has a collection of 300 fossils. Of these, 21% are fossilized snail shells. How many fossilized snail shells does Elmer have?

Pls someone help me with this question pls

Simplify the expression:
​P + 7p + 5p

P = ?

A. 13p
B. 13
C. 16p
D. 16

The market is located at point (−4, −3) on the coordinate graph. The barber shop is 8 units to the right and 4 units up from the market. Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.

Find the equation of the given line.

Find the equation of the line passing through
(5, 6) and (7, 9).

Need help plzzzzzzz!!!!