Answer: -4/7
Step-by-step explanation:
To find the slope, let's change the equation to slope-intercept form.
[tex]4x+7y=9[/tex] [subtract both sides by 4x]
[tex]7y=-4x+9[/tex] [divide both sides by 7]
[tex]y=-\frac{4}{7}x+\frac{9}{7}[/tex]
Now, we know the slope is -4/7.
