Let's see what to do buddy....
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1) Go...
We have the following equation for finding the slope of the line by using two points :
[tex]slope = m = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
Where a and b are the points which the line through them.
We have points C and D here ,
So :
[tex]slope = m = \frac{y(d) - y(c)}{x(d) - x(c)} \\ [/tex]
D = ( 7 , 12 ) and C = ( 0 , 0 )
Now just need to put the coordinates in the above equation :
[tex]slope = m = \frac{12 - 0}{7 - 0} = \frac{12}{7} \\ [/tex]
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2) Go...
We have the following equation to find the point-slope form of the linear functions :
[tex]y - y(o) =(slope) \times ( \: x - x(o) \: ) \\ [/tex]
Where o is one of the given points.
So we must choose one of the points ,
I choose : D = ( 7 , 12 )
Then we have :
[tex]y - 12 = \frac{12}{7}(x - 7) \\ [/tex]
It's point-slope form, so we need to simplifies it to find slope-intercept form.
Look:
[tex]y - 12 = \frac{12}{7}x - 12 \\ [/tex]
Both sides plus 12
[tex]y = \frac{12}{7}x \\ [/tex]
Now we have the slope-intercept form of the CD line.
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3) Go...
Domain = [ 0 , 7 ]
Range = [ 0 , 12 ]
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And we're done.
Thanks for watching buddy good luck.
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