Find the slope and y-intercept of the line represented:
2x - 3y = 6?
2007-06-26 03:56:45 · 5 answers · asked by associates07 1 in Education & Reference ➔ Homework Help
You need to put the equation in the form of y=mx+b, where m is the slope and b is the y-intercept.
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2
So the slope is 2/3, and the y-intercept is -2
2007-06-26 04:13:46 · answer #1 · answered by Kathryn 6 · 2⤊ 0⤋
Easiest way to find slope and y-intercept is to get the equation into y=mx+b form:
2x-3y=6
+3y +3y
2x=6+3y
-6 -6
2x-6=3y
*divide each side by 3
2/3x - 2 = y
Now the equation is in y=mx+b form where m=slope and b=y-intercept. So the slope is 2/3 and the y-intercept is -2.
2007-06-26 12:07:35 · answer #2 · answered by Chelsea 3 · 1⤊ 0⤋
In order to find the slope and y-intercept of a line, the equation must be in the form of:
Y = mX + B
where the coefficient of Y is 1, the slope is "m" and B is the y-intercept.
We start with your equation:
2X - 3Y = 6
Subtract 2X from both sides to get:
-3Y = -2X + 6
This isolates the term with "Y" on one side of the equation with everything else on the other side. Since the coefficient of "Y" is -3 and we require that coefficient to be "1", we must divide both sides by "-3". That will give us:
Y = 2/3 X - 2
From the above, "2/3" is the slope and "-2" is the y-intercept.
2007-06-26 11:13:07 · answer #3 · answered by MICHAEL R 7 · 3⤊ 0⤋
2/3x= slope
-2= y-intercept
2007-06-26 11:00:35 · answer #4 · answered by TypeA 5 · 0⤊ 0⤋
Graph it out, buddy, graph it out.
2007-06-26 11:11:44 · answer #5 · answered by champer 7 · 0⤊ 2⤋