Answer:
3/2
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m is slope and b is y-intercept.
If we want to find the slope, you have to convert the equation into slope-intercept form. We have to move the whole equation to another side, leaving only y-term.
[tex]2y - 3x = 7 \\ 2y = 7 + 3x \\ y = \frac{7 + 3x}{2} [/tex]
Simplify/Rearrange the equation into slope-intercept form.
[tex]y = \frac{7}{2} + \frac{3}{2} x \\ y = \frac{3}{2} x + \frac{7}{2} [/tex]
Therefore, our slope is 3/2
