## vera_ewing one year ago Math question

1. Astrophysics

Well do you understand how to actually do it?

2. anonymous

Oh boy.

3. Astrophysics

Ok can you graph it on here, via draw tool

4. Astrophysics

Nullius in verba, can you explain how you drew it, like what steps you took, I don't mean to doubt you, but I just want to know you understand :)

5. Astrophysics

Ok lets look at B, a nice way to graph these, lets say without points (ignore the intersection right now) is by just using the intercepts, so what are the x and y intercepts for the equations in question B?

6. Astrophysics

Lets focus on 3x-y=1, the x and y intercepts are a very easy way to graph lines, as we are basically just connecting the dots. To find the x - intercept we let y = 0 and solve for x, for y - intercept we set x = 0 and solve for y, so try finding the intercepts again for this equation.

7. Astrophysics

We are finding the intercepts, with the following method above, really what we're doing is finding two points which will let us graph the linear line. So we have the equation $3x-y=1$ now lets solve for the intercepts, starting off by letting y = 0 (to solve for x intercept) $3x-(0)=1 \implies 3x=1 \implies x = \frac{ 1 }{ 3 }$ so our x - intercept is 1/3 for this equation, which means we have the point $(\frac{ 1 }{ 3 },0)$ similarly for the y - intercept we let x = 0 and solve for y, can you solve for y here?

8. Astrophysics

I think you meant y = -1 right?

9. Astrophysics

Our point then is (0,-1) now we have two points for this equation (1/3,0) and (0,-1) and now we can graph this equation easily

10. Astrophysics

|dw:1443831427421:dw| notice here we just connect the two dots and make our line

11. Astrophysics

I'm approximating in this graph, but I'm giving you an idea on how to graph a linear equation, there are many ways to do this, but this is a fast way, especially if you want to check your answers.

12. Astrophysics

Now do the same with x+y = 3

13. Zale101

@vera_ewing you there?

14. Zale101

Awesome tutoring skills @Astrophysics !

15. Astrophysics

Haha, thanks, I just want people to learn! If you don't understand something, feel free to ask @vera_ewing

16. Zale101

@vera_ewing , Astro is walking you through to get the answer because you didn't show any attempt. Does it make sense to you on how to graph linear equations now by using the method astro offered?

17. Astrophysics

You should know better than this by now, asking if your answer is correct is the same thing as asking for a direct answer when NO attempt is shown.