Can someone pllleasse help me with this math problem? (Algebra, 8th grade)?

Question

Ok, i'm having trouble putting the answer of this question into words:

The slope of a line in a graph is found where in an x/y table?

I know it has something to do with increasing and decreasing. Also, how would i make a made up problem that is similar to that? And finally, how would i explain it? Pleasseee, pleaseee help!!!

I kno what slope is and i kno what slope-intercept form (y=mx+b) is. And im not cheating, it's quiz corrections, not homework.

Answer 1

ok, as you know, slope is equal to the change in y divided by the change in x.

from what you've said, you have a table of x values and y values

example:
x: y:
-1 -10
2 5
7 30

to find the change in x, subtract one value of x from another
to find the change in y, subtract a y value from another

note: the y values used must correspond to the x values

so for example, i want to find the slope of the function shown in the table. I know that the slope is equal to the change in y divided by the change in x.

Pick two values of x, let's say 2 and -1. Their y values are 5 and -10 respectively. In numerator, will have the change in y (5) - (-10)). In denominator, will have the change in x (2 -(-10)...

y1 - y2
----------
x1 - x2


5 - (-10) = slope
-----------
2 - (-1)

15 = slope
-----
3

5 = slope

Answer 2

Suppose y= 2x
then your table is:
x = 0 1 2 3 4
y = 0 2 4 6 8

So take any two values of y ( say 8 and 4), subtract them getting 8-4 = 4
Now subtract the corresponding values of x (4 and 2) getting
4-2 = 2.

Now divide the y-difference by the x difference getting 4/2 = 2,
where 2 is the slope.
If we had taken (8-0)/(4-0) = 8/4 = 2, we get same answer

Notice that the slope is the same as the number multiplying x in the equation y = 2x

Answer 3

On behalf of all employees of 7- Eleven ( i am not an employee)

I created an equation

y = 7x +11 (slope =7)

here are the x , y coordinates


x y
-5.00000 -24.00000
-4.80000 -22.60000
-4.60000 -21.20000
-4.40000 -19.80000
-4.20000 -18.40000
-4.00000 -17.00000
-3.80000 -15.60000
-3.60000 -14.20000
-3.40000 -12.80000
-3.20000 -11.40000
-3.00000 -10.00000
-2.80000 -8.60000
-2.60000 -7.20000
-2.40000 -5.80000
-2.20000 -4.40000
-2.00000 -3.00000
-1.80000 -1.60000
-1.60000 -0.20000
-1.40000 1.20000
-1.20000 2.60000
-1.00000 4.00000
-0.80000 5.40000
-0.60000 6.80000
-0.40000 8.20000
-0.20000 9.60000
0.00000 11.00000
0.20000 12.40000
0.40000 13.80000
0.60000 15.20000
0.80000 16.60000
1.00000 18.00000
1.20000 19.40000
1.40000 20.80000
1.60000 22.20000
1.80000 23.60000
2.00000 25.00000
2.20000 26.40000
2.40000 27.80000
2.60000 29.20000
2.80000 30.60000
3.00000 32.00000
3.20000 33.40000
3.40000 34.80000
3.60000 36.20000
3.80000 37.60000
4.00000 39.00000
4.20000 40.40000
4.40000 41.80000
4.60000 43.20000
4.80000 44.60000
5.00000 46.00000

Answer 4

this would be easier with a graph (and the slope is (say 2,5) over 2 up 5) (or right two up 5) (-2,5) (left 2 up 5) (2,-5) (right 2 down 5) (an x,y table is set up like that... x|y then the numbers are listed below and you just put then on the graph like i explained) i think there is enough info here for you to make a question and hopefully enough info to explain it...

Answer 5

when x increases what does y increase by?
like this:
x y
0 0 as x increases by 1, y increases by 2
1 2
2 4 equation: y= 2x there is no y-intercept
3 6 i hope this helps

Answer 6

The slope is the change in y over the change in x.

So, using an x/y table, you can take any two consecutive y values and their corresponding x values, and figure it by that.

y2-y1 all over x2-x1

Answer 7

the slope of a line simply means how much the line is going horizontally with regard to its vertical movement.

horizontal movement is always shown by x and vertical by y so if slop is m then m=y/x

Answer 8

do u kno how to use the fast graph method y=mx+b that works i think that answers ur question

Answer 9

its rise over run so u have to go up and then over to get the slope...i dont knpw how to answer the rest of the question sorry

Answer 10

slope = rise/run