Instructions: Write 2x+3y=92𝑥+3𝑦=9 to slope-intercept form. Slope-Intercept Form: y=𝑦=
Question
Instructions: Write 2x+3y=92𝑥+3𝑦=9 to slope-intercept form. Slope-Intercept Form: y=𝑦=
Solution
To convert the equation 2x + 3y = 9 to slope-intercept form (y = mx + b), follow these steps:
- Start with the original equation: 2x + 3y = 9
- Isolate y on one side of the equation. To do this, subtract 2x from both sides of the equation: 3y = -2x + 9
- Divide every term by 3 to solve for y: y = -2/3x + 3
So, the equation in slope-intercept form is y = -2/3x + 3.
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