Question

What is the slope and point of y=3x-13?

Answer 1

In y = mx + b form, the slope will be the number in the m position.
Can you tell me the slope now ?

Answer 2

3?

Answer 3

correct...so you have a slope of 3
as for your points....what exactly do you need ? The x and y intercepts ?

Answer 4

is it 5,2?

Answer 5

in y = mx + b, the b is your y intercept....so your y intercept is -13 or (0,-13)
to find the x intercept, sub in 0 for y and solve for x
y = 3x - 13
0 = 3x - 13
-3x = -13
x = 13/3....so your x intercept is (13/3,0)
or if you need any points....no particular ones..(5,2)
y = 3x - 13.
2 = 3(5) - 13
2 = 15 - 13
2 = 2 (correct).....(5,2) is also a set of points on the line

Answer 6

Can you help me with 3 others also? Please and thank you

Answer 7

of course

Answer 8

What is the slope and point of y=3x+11?

Answer 9

i think the slope would be 1/3, right?

Answer 10

no....
y = mx + b
y = 3x + 11
what number is in the m position....that is your slope

Answer 11

3!

Answer 12

yep.....and if you want to find a certain point...you can just use the y intercept, which is in the b position.
y = mx + b
y = 3x + 11
so you y int = (0,11)

Answer 13

Then the point would be 2,17

Answer 14

Next question:
What is the slope and point of 3y=x+11?

Answer 15

lets see if that works
y = 3x + 11
17 = 3(2) + 11
17 = 6 + 11
17 = 17 (correct)

yes...that works as well....(2,17) is also on the line

Answer 16

3y = x + 11.....lets put this in y = mx + b form

divide both sides by 3
y = 1/3x + 11/3

so your slope (number in the m position) is what ?

Answer 17

1 over 3?

Answer 18

yep

Answer 19

I don't know the point on this one

Answer 20

to find any points....just sub ANY number in for x and solve for y
y = 1/3x + 11/3......lets make x = 1
y = 1/3(1) + 11/3
y = 1/3 + 11/3
y = 12/3
y = 4
so when x = 1, y = 4...or (1,4)

you can use any number to sub in to fins the other number

Answer 21

typo...you can use any number to sub in to find the other number

Answer 22

So is the point -5,2?

Answer 23

lets see if that works..
y = 1/3x + 11/3
2 = 1/3(-5) + 11/3
2 = - 5/3 + 11/3
2 = 6/3
2 = 2 (correct)

(-5,2) ...that works as well

Answer 24

Last question:
What is the point and slope of 3y=x-13?
The slope is 1 over 3

Answer 25

3y = x - 13
y = 1/3x - 13/3

yep...slope is 1/3

can you find a point on the line ?

Answer 26

you can sub in ANY number for y and solve for x...or you can sub in ANY number for x and solve for y.....or you can just use the y int...which is the number in the b position...there are several different points on this line

Answer 27

the y int (the number in the b position)....(0,-13/3) is a point on this line

Answer 28

anymore questions ?

Answer 29

thank you for the testimonial :)