Asked by Lizbeilyn Ozoria on May 07, 2024

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Write the equation x−3y+6=0x - 3 y + 6 = 0x3y+6=0 in slope-intercept form.

A) y=−13x+2y = - \frac { 1 } { 3 } x + 2y=31x+2
B) y=13x+2y = \frac { 1 } { 3 } x + 2y=31x+2
C) y=−3x−2y = - 3 x - 2y=3x2
D) y=3x−2y = 3 x - 2y=3x2
E) y=−3x+2y = - 3 x + 2y=3x+2

Slope-Intercept Form

A linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Equation

A statement that asserts the equality of two expressions, usually represented by the symbol "=".

  • Convert the representation of equations from general to slope-intercept form.
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Verified Answer

ZK
Zybrea KnightMay 08, 2024
Final Answer :
B
Explanation :
To write the equation in slope-intercept form, solve for y:
x−3y+6=0x - 3y + 6 = 0x3y+6=0
−3y=−x−6-3y = -x - 63y=x6
y=13x+2y = \frac{1}{3}x + 2y=31x+2
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. This equation matches that form with slope = 1/3 and y-intercept = 2. Therefore, the answer is B.