Find the slope and y-intercept of the line represented by the equation 2x + 3y = 6.
Answer
From this form of the equation, we can immediately identify the slope and y-intercept. The slope (m) is the coefficient of x, which is \( -\frac{2}{3} \). The y-intercept (b) is the constant term, which is 2.
Step 1 ：First, we rearrange the equation into y = mx + b form, where m is the slope and b is the y-intercept. We do this by subtracting 2x from both sides of the equation, then dividing both sides by 3. So, our equation becomes:\( y = -\frac{2}{3}x + 2 \)
Step 2 ：From this form of the equation, we can immediately identify the slope and y-intercept. The slope (m) is the coefficient of x, which is \( -\frac{2}{3} \). The y-intercept (b) is the constant term, which is 2.
