Question

1. convert the linear equation below to slope-intercept form and identify the slope.\\(\frac{2}{3}y = 6x - 8\\)\

slope: ______\
slope-intercept form: ____________

Explanation:

Step1: Isolate y, multiply by $\frac{3}{2}$

Multiply both sides by $\frac{3}{2}$ to solve for y:
$$y = \frac{3}{2}(6x - 8)$$

Step2: Distribute $\frac{3}{2}$ to terms

Calculate each term after distribution:
$$y = \frac{3}{2} \times 6x - \frac{3}{2} \times 8$$
$$y = 9x - 12$$

Step3: Identify the slope

Slope-intercept form is $y=mx+b$, where $m$ is slope. Here $m=9$.

Answer:

Slope: $9$
Slope-Intercept Form: $y = 9x - 12$