Asked by Lizbeilyn Ozoria on May 07, 2024
Verified
Write the equation x−3y+6=0x - 3 y + 6 = 0x−3y+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=−3x−2
D) y=3x−2y = 3 x - 2y=3x−2
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.
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 = 0x−3y+6=0
−3y=−x−6-3y = -x - 6−3y=−x−6
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.
x−3y+6=0x - 3y + 6 = 0x−3y+6=0
−3y=−x−6-3y = -x - 6−3y=−x−6
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.
Learning Objectives
- Convert the representation of equations from general to slope-intercept form.