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Write the equation
2x+3y=18 in slope-intercept form.

User Motti
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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.

  1. Start by isolating the term with y by subtracting 2x from both sides of the equation: 3y = -2x + 18.
  2. 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.

User Jacques Koorts
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