Find the slope and y-intercept of the lien represented by each of the following equations.
2x-3y=6
2007-07-09 12:43:42 · 4 answers · asked by Dawn M 1 in Science & Mathematics ➔ Mathematics
Rearrange the equation:
2x - 3y = 6
2x = 6 + 3y
2x - 6 = 3y
(2/3)x - 2 = y
So you have:
y = (2/3)x - 2
Your slope is 2/3 and your y-intercept is -2.
2007-07-09 12:50:23 · answer #1 · answered by letsdoubleupthedorito 3 · 1⤊ 0⤋
2x-3y=6
Simple. Solve for y
Add -2x to both sides
-3y = 6 - 2x
Multiply both sides by -1/3
y = (2/3)x - 2
y=mx+b is called the "Slope-Intercept" form of a linear equation, where m is the slope, and b is the y-intercept.
2007-07-09 12:48:40 · answer #2 · answered by gugliamo00 7 · 0⤊ 0⤋
Just put it in slope-intercept form:
-3y = -2x + 6
y = 2x/3 - 2
The slope is the coefficient of x, that's 2/3
The y intercept is -2
2007-07-09 12:49:08 · answer #3 · answered by jsardi56 7 · 0⤊ 0⤋
just put it in slope intercept form in the form of y=mx +b
forget standard form...
subtract 2x from both sides...=-3y= -2x+6 and then divide by negative 3 to get y by itself... so its y=2/3x-2
2007-07-09 12:52:27 · answer #4 · answered by skywalker925000 2 · 0⤊ 0⤋