Question

14) Find the slope and y-intercept of the line 4x+2y=12

Answer 1

@realmadrid7

Answer 2

Hiya! Let's try an easier question first: if I gave you the line y = 2x + 3, would you be able to giv eme the slope and y-intercept?

Answer 3

(If you're not sure, just say so!) :-)

Answer 4

idk

Answer 5

Okay, basically, any line with the form \[y = mx + c\] will have a slope "m" and a y-intercept "c". So in the example I gave you, the slope would be 2, and the y-intercept would be 3. Does that make sense, so far?

Answer 6

yes

Answer 7

Great! In that case, try this one, before moving onto your original question. Can you find the slope and y-intercept of y=5x+7 ?

Answer 8

ummmm

Answer 9

Clue from before: If you have y=mx+c, then the slope is m and the y-intercept is c.

Answer 10

can you please show me how to do it the teacher is timin us ... then will you teach me

Answer 11

I'm trying to help you :-)

Answer 12

is the slope 12

Answer 13

Not quite! Let me give you the example from before:
If you have y = 2x + 3 then the slope is 2 and the y-intercept is 3.

Answer 14

So if you have y = 5x + 7, what are the slope and the y-intercept?

Answer 15

5 is the slope and 7 is the why intercept

Answer 16

Yep! Well done :-)
How about y = 10x - 5 ?

Answer 17

10 is the slope and 5 is the y intercept

Answer 18

Almost! But there's a minus sign! What do you think the effect of that might be?

Answer 19

-5

Answer 20

That's it! :)

Answer 21

Okay, now the important thing is to make sure your equation has the form y=mx+c.

Answer 22

This means that:

Answer 23

1) There's only one y, not two (e.g. 2y=mx+c would be bad!)

Answer 24

2) The y is by itself (so x + y = 5 would be bad!)

Answer 25

So if we take your original question (4x + 2y = 12), how do you think we might start to turn it into the form y=mx+c ?

Answer 26

Are you still there?