Question

Find the x and y intercepts of the equation 3x - 4y = 24. Plot the points on the coordinateplane or use the slope formula to find the slope.

Answer 1

Notice that the given equation is the equation of a line, taking this equation to its slope- intercept form we get:

`\begin{gathered} 3x-4y=24, \\ 3x-24=4y, \\ (3)/(4)x-(24)/(4)=(4)/(4)y, \\ (3)/(4)x-6=y\text{.} \end{gathered}`

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:

`\begin{gathered} 0=(3)/(4)x-6, \\ (3)/(4)x=6, \\ x=8. \end{gathered}`

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: