Question

Which is the graph of y = 2.5x?

Answer 1

A. http://static.k12.com/calms_media/media/1503000_1503500/1503199/1/830af08a3f79518ec571cd2fe04d2b8043037304/MS_IMC-140516-100009.jpg

Answer 2

B. http://static.k12.com/calms_media/media/1503000_1503500/1503200/2/7057f40d6e009db74f184dddb856b03c37fbf1a0/MS_IMC-140516-1000010.jpg

Answer 3

C. http://static.k12.com/calms_media/media/1503000_1503500/1503197/2/d0b3cf93e4e64399e305fa29ddc74717f7d86f9c/MS_IMC-140516-100007.jpg

Answer 4

And D. http://static.k12.com/calms_media/media/1503000_1503500/1503195/1/18432480bec33fefe81e474bd709c2ac3213abe7/MS_IMC-140516-100005.jpg

Answer 5

is the question
1.
\[y = 2.5x\]

or

2. \[y = 2.5^x\]

either way use this site to graph the equation and compare it to your choices

https://www.desmos.com/calculator

Answer 6

Thank you do much! I'll fan and award you IF it's correct haha. @campbell_st

Answer 7

Could you help me with another one?

Answer 8

@campbell_st ?

Answer 9

What is the equation of the graphed line? http://static.k12.com/calms_media/media/1503000_1503500/1503206/2/537531cd53990c49c34dd60adddf77266ee9150d/MS_IMC-140516-1000016.jpg

Answer 10

1. It's a straight line. That means the graph can be written in the form
\(y = mx + b\)
2. Form the graph, you see it goes through point (0, 0), the origin, right?

Answer 11

Um yeah.

Answer 12

That means, the b in y = mx + b is zero.
We have \(y = mx + 0\)
or simply
\(y = mx\)

Now we need to find the slope, m.

Answer 13

The line goes through (0, 0).
Start at (0, 0), and going up to the right, can you find a point that is easy to read? Look for a point exactly on the intersection of rtwo grid lines.

Answer 14

6,5?

Answer 15

You're on the right track, but you mean (5, 6)
Remember, you read x (left and right) first, then y (up and down).

Answer 16

Sorry! Haha I suck so hard at math.

Answer 17

I'm still a little confused @mathstudent55

Answer 18

Ok, we have point (0, 0) and point (5, 6).
The slope is a ratio. A ratio is usually expressed as a fraction.
The slope is the ratio of change in y to the change in x.
\((\color{red}{x}, \color{green}{y})\)
\((\color{red}{0}, \color{green}{0})\)
\((\color{red}{5}, \color{green}{6})\)

Answer 19

Notice the points above.
The x-coordinates are in red, and the y-coordinates are in green.

Answer 20

\(slope = m = \dfrac{change ~in ~y}{change ~in ~x} \)

Answer 21

The point (0, 0) has a y-coordinate of 0.
The point (5, 6) has a y-coordinate of 6.
How much did the y-value change from 0 to 6?
What is 6 - 0 = ?

Answer 22

6

Answer 23

Correct.
We now have this:
\(slope = m = \dfrac{\color{green}{6}}{change ~in ~x}\)

Answer 24

Now we do it for x.

Answer 25

The point (0, 0) has an x-coordinate of 0.
The point (5, 6) has an x-coordinate of 5.
How much did the x-value change from 0 to 5?
What is 5 - 0 = ?

Answer 26

5

Answer 27

Correct.
We now have this:
\(slope = m = \dfrac{\color{green}{6}}{\color{red}{5}}\)

Answer 28

Since we now know the slope, and that was all that was missing in our equation, we can now finish this problem.

The equation is

\(y = mx\)

\(y = \dfrac{6}{5}x\)

Answer 29

Thank you SO much! @mathstudent55

Answer 30

I got an 80% on my assessment! I passed it now I have 5 more left to do haha.

Answer 31

You're welcome.