Question

(GEOMETRY, HELP PLEASE) Write the equation of the line with a slope of 3/7 passing through the point (9 -2)

Answer 1

Show me the slope form ....?

Answer 2

\[y - y_1 = m(x - x_1) \]Here,\[m = {3 \over 7} \\ y_1 = -2\\x_1 = 9\]

Answer 3

what is x?

Answer 4

I got y=3/7x-2

Answer 5

hi

Answer 6

hi

Answer 7

did you get it

Answer 8

\[y=mx+b, y=-2, x=9, m=3/7\]
Solve for b.

Answer 9

Leave \(x\) and \(y\) just like \(x\) and \(y\).

Answer 10

ok

Answer 11

I got y=3/7x-2

Answer 12

\[-2=\frac{3}{7}(9)+b, b=?\]
And you got b=-2?

Answer 13

9?

Answer 14

@CliffSedge

Answer 15

You can also use the equation Parth gave:
\[y−y_1=m(x−x_1) \rightarrow y−(-2)=\frac{3}{7}(x−(9))\]

Answer 16

Assuming you've studied algebra before, this should look familiar.

Answer 17

2x-9= -3/7

Answer 18

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.

Answer 19

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 (rise-over-run).

Answer 20

This time is got 3x-7y=41

Answer 21

quick question, what type of triangle is RST?

Answer 22

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)=?

Answer 23

41

Answer 24

Okay great! thank you

Answer 25

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.

Answer 26

is it isoscles?

Answer 27

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?

Answer 28

I cant tell

Answer 29

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?

Answer 30

I got isoscles. I check

Answer 31

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.

Answer 32

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.