Line M passes through points (4,2) and (-7,1). What is the slope of a line N that is parallel to line M?
11
1/11
-1/11
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OpenStudy (anonymous):
@Miracrown
Miracrown (miracrown):
We just need to find the slope of line M using the two points.
Because if N is parallel, it has the same slope.
Do you know how you'd find the slope using the points?
OpenStudy (anonymous):
not really
Miracrown (miracrown):
The slope will be the difference between the y values, divided by the difference between the x values
Miracrown (miracrown):
So how would you calculate that?
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OpenStudy (anonymous):
im lost to say the truth
OpenStudy (anonymous):
do i divide 4,1 and 2,-7 or what?
Miracrown (miracrown):
We can use this formula to calculate it:
\[M \space = \frac{ y _{1} \space - y _{2} }{ x _{1} \space - x _{2} }\]
Miracrown (miracrown):
The top should be the y values from the two points
What will those be?
OpenStudy (anonymous):
4 and 1?
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Miracrown (miracrown):
Nope. Let me give a hand:
An ordered pair is always (x,y)
So the y values are the second number in each point
OpenStudy (anonymous):
ohh so -7 and 1?
Miracrown (miracrown):
The first point is (4,2)
The first number inside parentheses is x
And the second number inside parentheses is y
So in (4,2), what would the y value be?
Miracrown (miracrown):
In the point (4,2), x is 4 and y is 2
Does that make sense?
OpenStudy (anonymous):
my bad
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OpenStudy (anonymous):
im just tires
Miracrown (miracrown):
so what would the two y values on top be?
OpenStudy (anonymous):
so 2 and 1 right?
Miracrown (miracrown):
Yes
Miracrown (miracrown):
And what would the x values be?
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OpenStudy (anonymous):
4 and -7
Miracrown (miracrown):
\[\frac{ 2 \space - 1 }{ 4 \space - (-7) }\]
So now you subtract them on the top and bottom
What would that give you?
OpenStudy (anonymous):
1/11?
OpenStudy (anonymous):
wait so the answer is 1/11?
OpenStudy (anonymous):
@Miracrown
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