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Mathematics 7 Online
OpenStudy (anonymous):

write the equation in point slope form of the line through points (4,-4) and (1,2) use the point (4,-4)

OpenStudy (anonymous):

|dw:1382582019254:dw| find the values of x and y. the diagram is not to scale. PLEASE HELP!!

OpenStudy (ranga):

For the first question, do you know how to find the slope of a line passing through (4,-4) and (1,2) ?

OpenStudy (anonymous):

nope unfortunately im extremely stupid

OpenStudy (homeworksucks):

\[\frac{ y_2 -y_1}{ x_2-x_1 }\]

OpenStudy (ranga):

Slope is: difference in y coordinates divided by the difference in x coordinates Can you tell me what you get for slope?

OpenStudy (anonymous):

2?

OpenStudy (ranga):

minus 2. When you take the y difference, you have to take the x difference the same way. y difference is: 2 - (-4) = 2 + 4 = 6 x difference is: 1 - 4 = -3 slope = 6/-3 = -2

OpenStudy (ranga):

once you get the slope, to find the point slope form plug it into the equation: (y - y1) / (x - x1) = m Here they want you to choose (4, -4) as the point. So x1 = 4 and y1 = -4, m = -2 Just plug it in.

OpenStudy (anonymous):

so 6/-3 = -2 is the point slope?

OpenStudy (ranga):

No -2 is the slope of the line.

OpenStudy (anonymous):

and is 6/-3 a fraction? haha im confused. ok just real simple what is the answer to the question than sorry im being so difficult

OpenStudy (ranga):

Sorry. You have sufficient info to do the calculation.

OpenStudy (anonymous):

alright so i plug -2 into the y=mx + b equation?

OpenStudy (ranga):

You plug it into: (y - y1) / (x - x1) = m x1 = 4 and y1 = -4, m = -2

OpenStudy (anonymous):

i have no idea what you just did there

OpenStudy (anonymous):

|dw:1382583184366:dw|

OpenStudy (ranga):

That is the equation of a line in the point slope form. You know the slope and you know a point on the line. That is why it is called a point-slope form.

OpenStudy (ranga):

If it would make it easier you can also write the equation as: (y - y1) = m(x - x1) x1 = 4 and y1 = -4, m = -2. Just plug in these three values in the equation and you are done.

OpenStudy (anonymous):

ok so the answer is y-(-4) = -2(x-4)

OpenStudy (ranga):

Yes. But the -(-4) = +4 So it is y + 4 = -2(x - 4) That is it!

OpenStudy (anonymous):

really!!? yeah!! thnaks for all the help! think u could help me on the one with the diagram??

OpenStudy (ranga):

You need to solve for x and y?

OpenStudy (anonymous):

yes

OpenStudy (ranga):

The interior angles of a triangle adds up to how many degrees?

OpenStudy (anonymous):

180?

OpenStudy (ranga):

yes. Let me redraw with the vertex marked so it will be easy to discuss. hold on...

OpenStudy (anonymous):

ok thanks!

OpenStudy (ranga):

|dw:1382583734782:dw|

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