SOLUTION: 17. A line passing through (13, 16) and (9, y) is parallel to a line with slope 2. What is the value of y?

Question 110378: 17. A line passing through (13, 16) and (9, y) is parallel to a line with slope 2. What is the value of y?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the slope formula (note:

is the first point (,) and

is the second point (,y))

Plug in ,,, (these are the coordinates of given points). Now plug in (this is the given slope)

Subtract the terms in the denominator to get

Multiply both sides by -4

Add 16 to both sides

So the value of y is

Notice if we find the slope of (,) and (,), we get

Start with the slope formula (note:

is the first point (,) and

is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

Reduce

So the slope is

So our answer is verified
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