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Mathematics 14 Online
OpenStudy (vera_ewing):

Math question

OpenStudy (astrophysics):

Well do you understand how to actually do it?

OpenStudy (anonymous):

Oh boy.

OpenStudy (astrophysics):

Ok can you graph it on here, via draw tool

OpenStudy (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 :)

OpenStudy (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?

OpenStudy (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.

OpenStudy (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?

OpenStudy (astrophysics):

I think you meant y = -1 right?

OpenStudy (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

OpenStudy (astrophysics):

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

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