Final answer:
To write the equation 2x + 3y = 18 in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, subtract 2x from both sides of the equation to isolate the term with y, and then divide every term by 3 to solve for y. The resulting equation is y = (-2/3)x + 6.
Step-by-step explanation:
To write the equation 2x + 3y = 18 in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, we need to solve the equation for y.
- Start by isolating the term with y by subtracting 2x from both sides of the equation: 3y = -2x + 18.
- Next, divide every term by 3 to solve for y: y = (-2/3)x + 6.
Therefore, the equation 2x + 3y = 18 in slope-intercept form is y = (-2/3)x + 6.