find the slope if it exists
2007-06-10 04:33:15 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Arrange equation like this:
2x -14 = 7y
Divide everything by 7
(2/7)x - 2 = y
Slope: 2/7
2007-06-10 04:37:08 · answer #1 · answered by Lilovacookedrice 3 · 0⤊ 0⤋
Find the X and Y intercepts.
For "x," all you need to do for this is plug 0 in for "y." When you do this, the equation looks like 2x-7(0)=14. Then, solve for x.
7 times 0 equals zero, so it does not have any presence in the expression, so now you have 2x=14. Then, divide by 2 and you have x=7.
For "y," plug in 0 for x. Now you will have 2(0)-7y=14. Then, subtract the 2(0), which is zero. Now you have 7y=14. Then, divide by seven, and your answer for "y" is 2.
The slope is (y2-y1)/(x2-x1). Put in the coordinates for each of the variables. Now you have (2-0)/(0-7). Then, simplify and you have 2/7.
Your final answer is (2/7)
2007-06-10 12:41:09 · answer #2 · answered by Neil C 2 · 0⤊ 0⤋
First, rearrange the equation:
2x = 14 + 7y
2x - 14 = 7y
Manipulate the above qn so that it is similar to y = mx + c, as shown below:
y = 2/7x - 14 (divide the whole eqn by 7)
As seen from the eqn above, slope m exists as 2/7.
2007-06-10 11:41:18 · answer #3 · answered by Anonymous · 0⤊ 0⤋
2x - 7y = 14
2x - 7y - 2x = - 2x + 14
- 7y = - 2x + 14
- 7y / - 7 = - 2x / - 7 + ( 14 / - 7)
y = 2/7x + ( - 2)
y = 2/7x - 2
- - - - - - - - -
Slope is 2/7
- - - - - - - - - - -s-
2007-06-10 12:07:57 · answer #4 · answered by SAMUEL D 7 · 0⤊ 0⤋
ax + by = c
Slope is -a/b
Here a = 2, b = -7 So slope is 2/7
2007-06-10 11:37:06 · answer #5 · answered by astrokid 4 · 0⤊ 0⤋
ax+by=c
2x-7y=14
So, a=2, b=-7, c=14
-7y=14-2x
y=-2+2/7x
y=2/7x-2
slope is 2/7.
2007-06-10 11:45:50 · answer #6 · answered by abcd 2 · 0⤊ 0⤋