Notice that the given equation is the equation of a line, taking this equation to its slope- intercept form we get:
[tex]\begin{gathered} 3x-4y=24, \\ 3x-24=4y, \\ \frac{3}{4}x-\frac{24}{4}=\frac{4}{4}y, \\ \frac{3}{4}x-6=y\text{.} \end{gathered}[/tex]
From the above equation, we get that the y-intercept of the equation is -6, and its slope is 3/4. Setting y=0, and solving for x we get:
[tex]\begin{gathered} 0=\frac{3}{4}x-6, \\ \frac{3}{4}x=6, \\ x=8. \end{gathered}[/tex]
Therefore, the x-intercept has coordinates (8,0).
Answer: The slope of the line is 3/4 (option B).
The graph of the line is:
