2006-08-30 08:17:07 · 10 answers · asked by Roberta A 1 in Science & Mathematics ➔ Mathematics
To write in slope-intercept form means to solve for the variable y.
2x - 3y = 6
Subtract 2x from each side
-3y = -2x + 6
Divide everything by -3
-3y/-3 = -2x/-3 + 6/-3
Simplify
y = (2/3)x - 2
2006-08-30 08:19:26 · answer #1 · answered by MsMath 7 · 0⤊ 0⤋
You have given the equation to be : 2x-3y = 6
Hence, 2x = 6 + 3y
Therefore, 2x - 6 = 3y
Divide throughout by 3, we get...
2x/3 - 6/3 = y
Hence, 2x/3 - 2 = y or we can write this as.....
y = 2x/3 - 2
Compare this with the slope-intercept form of the equation of a straight line which is :
y = mx + c
Where m is the slope of the line and c is intercept of the line of the Y-axis.
Hence, the slope is 2/3 and intercept on Y-axis is -2. Thus we have the required equation in slope intercept form.
ANS :- y = 2x/3 - 2
Hope the answer serves the purpose.
2006-08-30 08:24:00 · answer #2 · answered by ankit41 3 · 0⤊ 0⤋
The slope intercept is simply restating in terms of Y. The fast way is just to move everything but the Y over to the right (leaving Y alone) by multiplying -2/3x, or the slow way, move each element over individually (first, 2x=6+3y, then 2x-6=3y, finally (2x-6)/3=Y) and you've isolated the Y
2006-08-30 08:37:49 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Slope intercept form is y= mx+b
so what you have to do is solve the equation for y.
You get: y=(6-2x)/(-3) => (6/-3) -(2x/-3) => -2+(2x/3) =>(2x/3)-2
so y= (2x/3)-2 where the slope (m) = (2/3) and b=(-2)
2006-08-30 08:25:05 · answer #4 · answered by Rach524 2 · 0⤊ 0⤋
Q1: the slope must be sensible 13/5. the numerator and denominator are both damaging and once you divide 2 negatives you get a good. Q2: 8=ninety one/5 + b ***its sensible because of slope..the slope is sensible not damaging such as you imagine that's*** Q3: to calculate b you want to proceed to remedy the equation you've in Q2. once you remedy out that equation you ought to get b=-10.2 (-10 a million/5) very last answer: y=13/5x+-fifty one/5
2016-11-23 14:45:58 · answer #5 · answered by ? 4 · 0⤊ 0⤋
y=(2/3)x-2
2006-08-30 09:30:14 · answer #6 · answered by Dre 2 · 0⤊ 0⤋
2x - 3y = 6
-3y = -2x + 6
y = (2/3)x - 2
ANS : y = (2/3)x - 2
2006-08-30 08:27:35 · answer #7 · answered by Sherman81 6 · 0⤊ 0⤋
ah, i remember doing this in high school...but nope, it's gone from my mind
2006-08-30 08:22:07 · answer #8 · answered by L 3 · 0⤊ 0⤋
y = (2/3)x - 2
Now **you** need to figure out how I got that and what it means.
Doug
2006-08-30 08:20:29 · answer #9 · answered by doug_donaghue 7 · 0⤊ 1⤋
Nope.Find the answer yourself!
2006-08-30 08:23:23 · answer #10 · answered by Anonymous · 0⤊ 1⤋