find the slope of the line with the equation???
3x-2y=12
i know the answer is 3/2 but i dont know how to get rid of the 12
2007-09-02 09:56:05 · 9 answers · asked by Ramona C 1 in Science & Mathematics ➔ Mathematics
3x-2y=12
-2y=-3x+12
-2y=-2y- 2y
y= 3 -6
2
It has to be in y= mx+b form.
So your answer is y= 3/2-6
2007-09-02 10:04:10 · answer #1 · answered by Javed S 2 · 0⤊ 0⤋
You don't have to get rid of the 12. Put the equation in the form y = (3/2)x - 6. In this form (y = mx + b), the slope is the coefficient of x, and the y-intercept is the constant,
-6.
2007-09-02 17:05:12 · answer #2 · answered by Tony 7 · 0⤊ 0⤋
3x - 2y = 12
Perform the same operations on both sides until you have the slope-intercept form y - mx + b
-2y = -3x + 12 {subtract 3x}
y = (3/2)x - 6 {divide by -2}
2007-09-02 17:04:09 · answer #3 · answered by kindricko 7 · 0⤊ 0⤋
3x - 2y = 12 // - 3x
-2y = -3x + 12 // divide by -2
y = 3x/2 - 6
The slope is 3/2.
Why would you want to get rid of the 12? It has nothing to do with the slope. -6 is the y-intercept.
2007-09-02 17:02:12 · answer #4 · answered by Amit Y 5 · 0⤊ 0⤋
y= 3/2*x - 6
dy/dx=slope=3/2 this is the way we calculate slope by calculus though explaining the reason will be much complicated.
(0,-6) the y intersect of the line.
and (4,0) the x intersect of the line.
slope=(y2-y1)/(x2-x1)
slope={0-(-6)}/{4-0}=3/2
the reason we are calculating the intersects is a line and the coordinate plane makes a triangle and the rise and run would be obvious. since the ratio between rise and run is slope we can formulate it by using the above formula.
so we are using that 12 to find the intersects actualy you are not getting rid of it.
when you know two points in a line you can calculate its slope because this two points also can create a right triangle(by drawing paralels to the axises) which is similar with the one you can create by using coordinate planes. the ratio of the sides would be the slope
2007-09-02 17:24:53 · answer #5 · answered by pristis 1 · 0⤊ 0⤋
y=mx+c where m is the slope and cis the interspt
3x-2y=12
2y=3x-12----------divided by2
y=3/2x-12/2 sotheslope=3/2
2007-09-02 17:03:13 · answer #6 · answered by Anonymous · 0⤊ 0⤋
the 12 is your intercept
y=mx + b m=slope b=intercept
2007-09-02 17:00:14 · answer #7 · answered by Rich W 2 · 0⤊ 0⤋
line is 3x -- 2y = 12
or 2y = 3x -- 12
or y = (3/2)x -- 6 whose slope is 3/2
2007-09-02 22:05:44 · answer #8 · answered by sv 7 · 0⤊ 0⤋
x=6
y=3
2007-09-02 17:00:10 · answer #9 · answered by Zipperhead 6 · 0⤊ 0⤋