Mathematics
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OpenStudy (anonymous):
What is the equation of the line?
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OpenStudy (anonymous):
where the line
OpenStudy (anonymous):
@TheSmartOne
OpenStudy (anonymous):
@TheSmartOne
OpenStudy (anonymous):
@Directrix
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OpenStudy (anonymous):
@mathstudent55
TheSmartOne (thesmartone):
Take two points from the line and find the slope.
OpenStudy (anonymous):
Please someone help me!!
OpenStudy (anonymous):
Ok
OpenStudy (mathstudent55):
We can find the equation of the line using the slope-intercept equation of a line.
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TheSmartOne (thesmartone):
if one point is \(\sf (x_1,y_1)\) and the other point is \(\sf (x_2,y_2)\) then the slope is \(\sf\large \frac{y_2-y_1}{x_2-x_1}\)
OpenStudy (mathstudent55):
The slope-intercept equation of a line is:
\(y = mx + b\)
where m = slope, and b = y-intercept.
TheSmartOne (thesmartone):
^ exactly
OpenStudy (mathstudent55):
Let's find the y-intercept first.
Look at the graph, and see at what point on the y-axis does the line cross the y-axis?
TheSmartOne (thesmartone):
and find the slope
then to find the y-intercept, see where the line crosses the y-axis
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
y=1
TheSmartOne (thesmartone):
Yes, that's the y-intercept
OpenStudy (mathstudent55):
Correct.
That means we have b = 1.
We can plug in b into our equation:
\(y = mx + 1\)
OpenStudy (mathstudent55):
Now we need the slope.
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OpenStudy (mathstudent55):
To find the slope, first you need to find two points of the liner that are easy to read.
OpenStudy (anonymous):
4/3 is the slope
OpenStudy (mathstudent55):
A point that is easy to read is a point on the line that is on a grid intersection.
OpenStudy (mathstudent55):
You are correct. m = 4/3
OpenStudy (mathstudent55):
Now we plug in the slope for m.
\(y = mx + b\)
\(y = \dfrac{4}{3} x + 1\)
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OpenStudy (anonymous):
Ok so that means y=4/3+1
OpenStudy (mathstudent55):
That is the equation of the line.
OpenStudy (mathstudent55):
Don't forget the x.
OpenStudy (mathstudent55):
|dw:1445452943648:dw|
OpenStudy (anonymous):
Ok can you help with a few more @mathstudent55
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OpenStudy (anonymous):
PWEEEEEZEE
OpenStudy (mathstudent55):
Sure. pls start a new post. i'll go there.
OpenStudy (anonymous):
Look ill medal you and fan
OpenStudy (anonymous):
ok