Rewrite the equation \(x - 3y = 6\) into slope-intercept form using \(y = mx + b\).

Subtract x to both side. -3y=-x+6 Divide -3 to both side, two positive make a negative. y=1/3x-2

Answered by Madision | 2024-06-10

The solution is: x-3y=6 in **slope intercept **form is y = x/3 -2.
Here, we have,
given that,
x-3y=6
**Slope intercept **form is y = mx+b
where m is the slope and b is the y** intercept**.
we have,
x-3y=6
Subtract x from both sides
x-3y -x =6 -x
Combine
-3y = 6 -x
Divide all parts of the** equation** by 3
-3y/3 = 6/3 -x/3
-y = 2 - x/3
or, y = x/3 -2
where,
Slope = 1/3
y intercept = -2
Hence, The solution is: x-3y=6 in** slope intercept **form is y = x/3 -2.
To learn more on** Equation 0f Straight-Line** click:
brainly.com/question/25124441
#SPJ6

Answered by duttakoushik094 | 2024-06-17

The equation x − 3 y = 6 in slope-intercept form is y = 3 1 ​ x − 2 . Here, the slope is 3 1 ​ and the y-intercept is − 2 . This indicates how the line behaves graphically with respect to changes in x .
;

Answered by duttakoushik094 | 2024-10-01