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Mathematics 16 Online
OpenStudy (anonymous):

What is the equation of the line?

OpenStudy (anonymous):

where the line

OpenStudy (anonymous):

@TheSmartOne

OpenStudy (anonymous):

@TheSmartOne

OpenStudy (anonymous):

@Directrix

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.

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

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.

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. \(y = mx + b\) \(y = \dfrac{4}{3} x + 1\)

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

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

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