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Mathematics 21 Online
OpenStudy (anonymous):

Choose the equation that represents the graph below.

OpenStudy (anonymous):

OpenStudy (anonymous):

y = x - 3 y = -x + 3 y = -x - 3 y = x + 3

OpenStudy (anonymous):

y=x+3

OpenStudy (anonymous):

\(y=mx+b\) you need \(m\) and \(b\) \((0,3)\) is on the graph, so \(b=3\) slope is harder to visualize, but since for this line you go over one and up one, slope is \(1\)

OpenStudy (anonymous):

ok not sure that i understand though

OpenStudy (anonymous):

ok we can go slow the equation for the line is going to look like \(y=mx+b\) for example \(y=3x+2\) or sommat

OpenStudy (anonymous):

when you are asked to find the equation for a line, you have to come up with two numbers, \(m\) the slope, and \(b\) the \(y\) - intercept

OpenStudy (anonymous):

the \(y\) intercept is easy if you have the graph, look to see where the line crosses the \(y\) axis in this case it crosses at \(3\) you can see it with your eyeballs

OpenStudy (anonymous):

k

OpenStudy (anonymous):

so now you know that \(b=3\) and you need to find \(m\) the slope from the picture, you see that for each unit increase in \(x\), there is an increase of 1 in \(y\) for example, the point \((0,3)\) is on the graph, go one to the right and you get \((1,4)\) one to the right again, you get \((2,5)\) and so on so every time you go right 1, you go up 1 therefore slope is 1

OpenStudy (anonymous):

this means \(m=1\) and so the equation \[y=mx+b\] becomes \[y=1x+3\] but don't write \(1x\) because your teacher will think you are a moron, just write \[y=x+3\]

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