line pass through 13

kekepania

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Joined
Dec 13, 2005
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I am having trouble fiuring this out, can you please help?

A line passing through (2, 18) and (1, y) is parallel to a line with slope 12. What is the value of y?
 
Write the equation of the line
y-18=12(x-2)
solve f(1) for y
 
kekepania said:
I am having trouble fiuring this out, can you please help?

A line passing through (2, 18) and (1, y) is parallel to a line with slope 12. What is the value of y?

If the desired line is to be parallel to a line with slope 12, then the slope of the desired line must also be 12 (parallel lines have equal slopes).

To find the slope of the line through (x<SUB>1</SUB>, y<SUB>1</SUB>) and (x<SUB>2</SUB>, y<SUB>2</SUB>), remember that

slope = (y<SUB>2</SUB> - y<SUB>1</SUB>) / (x<SUB>2</SUB> - x<SUB>1</SUB>)

Your points are (2, 18) and (1, y). So,

slope = (y - 18)/(1 - 2)
slope = (y - 18)/(-1)
or,
slope = 18 - y

Now, you know this slope must be 12:
18 - y = 12

Solve for y......

I hope this helps you.
 
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