Question

#1.) What is the slope between point C and Point D? *Please Show All Work*

Answer 1

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 :

$slope = m = \frac{y(b) - y(a)}{x(b) - x(a)}$

Where a and b are the points which the line through them.

We have points C and D here ,

So :

$slope = m = \frac{y(d) - y(c)}{x(d) - x(c)}$

D = ( 7 , 12 ) and C = ( 0 , 0 )

Now just need to put the coordinates in the above equation :

$slope = m = \frac{12 - 0}{7 - 0} = \frac{12}{7}$

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2) Go...

We have the following equation to find the point-slope form of the linear functions :

$y - y(o) =(slope) \times ( \: x - x(o) \: )$

Where o is one of the given points.

So we must choose one of the points ,

I choose : D = ( 7 , 12 )

Then we have :

$y - 12 = \frac{12}{7}(x - 7)$

It's point-slope form, so we need to simplifies it to find slope-intercept form.

Look:

$y - 12 = \frac{12}{7}x - 12$

Both sides plus 12

$y = \frac{12}{7}x$

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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