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oholmes
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(GEOMETRY, HELP PLEASE) Write the equation of the line with a slope of 3/7 passing through the point (9 2)
 2 years ago
 2 years ago
oholmes Group Title
(GEOMETRY, HELP PLEASE) Write the equation of the line with a slope of 3/7 passing through the point (9 2)
 2 years ago
 2 years ago

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Chlorophyll Group TitleBest ResponseYou've already chosen the best response.0
Show me the slope form ....?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
\[y  y_1 = m(x  x_1) \]Here,\[m = {3 \over 7} \\ y_1 = 2\\x_1 = 9\]
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
I got y=3/7x2
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
did you get it
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
\[y=mx+b, y=2, x=9, m=3/7\] Solve for b.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Leave \(x\) and \(y\) just like \(x\) and \(y\).
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
I got y=3/7x2
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
\[2=\frac{3}{7}(9)+b, b=?\] And you got b=2?
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
You can also use the equation Parth gave: \[y−y_1=m(x−x_1) \rightarrow y−(2)=\frac{3}{7}(x−(9))\]
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Assuming you've studied algebra before, this should look familiar.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Ok, let's back way up then. The point is (9, 2) which means that at a particular point on the line, x=9, and y=2. The slope is 3/7 which means from any point on the line, you can go up 3 units then to the right 7 units and find another point on the line.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
An equation of the line will be such that you can take the x and y coordinates from any point on the line and put them into the equation and make it a true statement. The slope is found by dividing the difference between the y coordinates of two points by the difference between the x coordinates of those two points (riseoverrun).
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
This time is got 3x7y=41
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
quick question, what type of triangle is RST?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
That looks better. You can test it by putting in the x and y coordinates from your point and seeing if it makes the statement true. i.e. 3(9)7(2)=?
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
Okay great! thank you
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Good, then the equation is true. For triangle RST, do you know how to measure the sides using the distance formula (i.e. the pythagorean theorem)? As a hint, notice the symmetry and how the sides RS and RT look to be the same length.
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
is it isoscles?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
That would be a good guess. I'd probably still measure to make sure it wasn't equilateral. Can you see how long segment ST is?
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
I cant tell
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
The coordinates of points S and T are given. S is at (4,7) and T is at (4,7). They are both at the height y=7, so it is a straight horizontal like going from x=4 to x=4. How far is that?
 2 years ago

oholmes Group TitleBest ResponseYou've already chosen the best response.0
I got isoscles. I check
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Ok, I just want to make sure you know how to handle these questions in general in case you see a similar problem, that isn't so easy to solve.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
There are particular skills and knowledge that these questions are testing from you. It is important that you have these basic skills proficiently so that you can move on to more difficult problems.
 2 years ago
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