To convert the equation 3x + 2y = 5 into slope-intercept form, we need to isolate y on one side of the equation. The slope-intercept form is given by the formula y = mx + b, where m represents the slope and b is the y-intercept.
Here are the steps to rewrite the equation:
- Start with the original equation: 3x + 2y = 5.
- Subtract 3x from both sides: 2y = -3x + 5.
- Next, divide each term by 2 to solve for y: y = - rac{3}{2}x + rac{5}{2}.
This means the slope (m) is - rac{3}{2} and the y-intercept (b) is rac{5}{2}. Now the equation is in the slope-intercept form.
In conclusion, the equation 3x + 2y = 5 in slope-intercept form is y = - rac{3}{2}x + rac{5}{2}.