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Mathematics 20 Online
OpenStudy (anonymous):

A line passes through the points (-8, 7) and (x2, y2), and has a slope of -1/10. If point (x2, y2) is located in quadrant I, find x2.

OpenStudy (anonymous):

ok, so we know a couple of things, we know the slope, we know that the point lies in QI, so we should have all we need to answer the question.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

is what i have told you made sense so far?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Our slope formula is \[m=\frac{ y _{2}-y _{1} }{x _{2}-x _{1} }\]

OpenStudy (anonymous):

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OpenStudy (anonymous):

OOPs, didn't mean to bust into your explanation @Hope_nicole

OpenStudy (anonymous):

its okay

OpenStudy (anonymous):

you can help if you want to

OpenStudy (anonymous):

Let's substitute the values we know into the slope formula....

OpenStudy (anonymous):

We know m, we know x_1 and y_1

OpenStudy (anonymous):

i already did @Hope_nicole help me do that already we got y=-1/10+6.2

OpenStudy (anonymous):

well, I was thinking more like this: \[y _{2}-7=-1\] and \[ x _{2}-8=10\]

OpenStudy (anonymous):

Now just solve for each of those separately and you have your answer.

OpenStudy (anonymous):

6 and 18

OpenStudy (anonymous):

There you go, so your x value is what you were looking for.

OpenStudy (anonymous):

so the x is 18

OpenStudy (anonymous):

Most importantly, the values fit the description that the point is in Q1 because (18,6) lies in Q1.

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

YW!

OpenStudy (anonymous):

did he help you? sorry my dogs decided to run throw a mud puddle!

OpenStudy (anonymous):

is he right

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