An image featuring various abstract representations to symbolize mathematical questions. It includes tables illustrating data points that imply a relationship between 'x' and 'y', sketches of graphs to correspond with given mathematical equations, and dotted lines indicating the movement of a line or a path through specific points in a Cartesian plane. The depiction also includes an abstract representation for the concept of parallel and perpendicular lines, along with a subtle way to demonstrate absolute value functions and their transformation. Finally, the image visualizes a scatter plot that suggests a specific type of correlation.

1. for the data in the table, does y vary directly with x? if it does write an equation for the direct variation.

10 | 12
15 | 18
20 | 24

A. yes; y = 1.2x
B. yes; y = 2x
C. yes; y = x + 1
D. no; y does not vary directly with x

2. For the data in the table, does y vary directly with x? if it does, write an equation for the direct variation.

x | y
32 | 24
16 | 8
8 | 6

3. Match the equation with the graph. y=1/3x-6

4. Match the equation with the graph. -3x+5y=15

5. The table shows the number of miles driven over time.

time (hours) | distance (miles)
4 | 204
6 | 306
8 | 408
10 | 510

6. Fine the slop of the line. So I can't put the picture in but I can put the answers in and hopefully someone will know what the graph looks like or has taken the test and knows the answer lol.
A. -4
B. -1/4
C. 1/4
D. 4

7. what is the slope of the line that passes through the pair of points (3,8) and (9,5)

8. What is the slope of the line. Again I can't put the picture in so ill just put the answers.
A. 0
B. 1
C. undefined
D. infinity

9. write an equation in point-slope form for the line through the given point with the given slope. (8,3); m=6

10. write an equation in point slope form for the line through the given point with the given slope. (-10, -6); m=-5/8

11. The table shows the height of a plant as it grows. Which equations in point slope form gives the plants height at any time

time (months) | Plant height (cm)
2 | 18
4 | 36
6 | 54
8 | 72

12. what is the graph of the equation. x=-5

13. write y=-3/4x+3 in standard from using integers.

14. write an equation for the line that is parallel to the given line and passes through the given point. y=5x+10; (2,14)

15. tell whether the lines for each pair of equations are parallel, perpendicular, or neither
y=-3x+7

-2x+6y=3

16. tell whether the lines for each pair of equations are parallel, perpendicular, or neither
y=-1/4x+10

-2x+8y=6

17. write the equation of a line that is perpendicular to the given line and that passes through the given point.
y-2 =7/3(x+5); (-4,9)

18. below are functions of y=|x| and y=|x|-5. How are the functions related

19. describe how the graphs of y=|x| and y=|x+2| are related

20. graph y=|x|-5

21. graph y=|x-4|

22. which type of correction is suggest by the scatter plot.

So I didn't add the answers only cause I'm lazy af. But if anyone needs me too I can.

1.

A. Yes; y=1.2x***
B. Yes; y=2x
C. Yes; y=x+1
D No; y does not vary directly with x

2.
A. Yes; y=0.5x
B. Yes; y=2x
C. Yes; y=1.5x
D.No; y does not vary directly with x***

3.
A.
B.
C.***
D.
the answers for those are graphs and I can't really put them in
4.
A.
B.***
C.
D.
The same is with these the answers are graphs and i can't put them in
5.
A. 51/1; your car travels 51 miles every 1 hour***
B. 204; your car travels 204 miles
C. 1/51; your car travels 51 miles every 1 hour
D. 10; your var travels for 10 hours

6.
A. -4
B. -1/4***
C.1/4
D.4

7.
A. -2
B. 2
C. 1/2***
D. -1/2

8.
A. 0
B. 1
C. undefined***
D. infinity

9
A. y+3=6(x-8)***
B. y-3=6(x-8)
C. y-3=6(x+8)
D. y+3=6x+8

10.
A. y-6=-5/8(x-10)
B. y-6=-5/8(x+10)
C. y+6=-5/8(x+10)
D. y+10=-5/8(x+6)***

11.
A. y+18=9(x+2)
B. y-18=9x+2
C. y-18=9(x-2)***
D. The relationship is nonlinear

12.
A.***
B.
C.
D.
This one has graphs as answers too
13.
A. 3x+4y=12
B. 3x+4y=-12***
C. 3x-4y=12
D. -3x+4y=12

14.
A. y=1/5x+4
B. y=-1/5x-4
C. y=5x-68
D. y=5x+4***

15.
A. Parallel
B. perpendicular ***
C. neither

16.
A. parallel
B. perpendicular
C. neither ***

17.
A. y-9=-3/7(x-4)***
B. y-9=3/7(x-4)
C. y-9=-3/7(x+4)
D. y-9 =3/7(x+4)

18.
A. the functions have the same shape. The y-intercerpt of y=|x| is 0, and the y-intcercept of the second function is 5
B. the functions have the same y-intercept. the second function is steeper then y=|x|
C. The two functions are the same ***
D. the functions have the same shape. the y-intercept of y=|x| is 0, and the y-intcercept of the second function is -5

19.
A. the graphs have the same shape. the y-intercept of y=|x| is 0, and the y-intercept of the second graph is -2***
B. the graphs have the same shape. the y-intercept of y=|x| is 0. and the x-intercept of the second graph is 2
C. the graphs have the same shape. the y-inyercept of y=|x| is 0. and the y-intcerpent of the second graph is 2
D. the two graphs are the same

20.
A. ***
B.
C.
D.
this one has graphs has answers
21.
A.
B.***
C.
D.
same with this the answers are graphs
22.
A. positive correlation
B. equal correlation
C. negative correlation
D. no correlation***

*** my answers

1. Yes; y=1.2x

2. No; y does not vary directly with x
3. Graph ( y intercept is -6, its also a positive slope)
4. Graph ( y intercept is 2, its also a positive slope)
5. 58/1; your car travels 58 miles in 1 hour.
6. 1/5
7. -1/3
8. undefined
9. y - 3 = 5(x - 8)
10. y + 6 = -5/8(x + 10)
11. y - 18 = 9(x - 2)
12. Graph ( a vertical line on -3 (X AXIS)
13. 5x + 8y = 24
14. y = 5x + 4
15. perpendicular
16. neither
17. y - 3 = -3/8(x + 2)
18. The functions have the same shape. The y-intercept of y=|x| is 0, and the y-intercept of the second function is -3.
19. The two graphs have the same shape but the second graph is shifted 5 units LEFT.
20. Graph (y intercept is -3)
21. Graph (X is POSITIVE 5, y intercept is 0)
22. no correlation
23. On your own
24. On your own

:) 100%

Omg im so sorry I miss read that I miss read the part that said only post 2 or 3 of my answers sorry Mr sue

if you scroll up to the top to my first response it will say

@tater tot is correct, I've been on three different jiskha websites looking and these match for me.

tater tot is wrong. none match my answers

im boutta use his answers, wish me luck!

are his answers right

Whoever’s listening don’t trust them your grade gon be bad I did and I got a 11/22

could you check 7,9 and 10 please?