Question

Find the x-intercept and the y-intercept without graphing. Write the coordinates of each intercept. When typing the point (x,y) be sure to include parentheses and a comma between your x and y components. Do not put any spaces between your characters. If a value is not an integer type your answer rounded to the nearest hundredth.3x+8y=24the x-intercept is Answerthe y-intercept is Answer

Answer 1

We want to find the x and y-intercepts of

`3x+8y=24`

The x-intercept is where the graph cuts the x-axis, when y = 0. To find this in our equation, we just need to evaluate it at y = 0.

`\begin{gathered} 3x+8*0=24 \\ 3x=24 \\ x=(24)/(3)=8 \end{gathered}`

Then, the x-intercept is (8, 0).

The y-intercept is where the graph cuts the y-axis, when x = 0. To find this in our equation, we just need to evaluate it at x = 0.

`\begin{gathered} 3*0+8y=24 \\ 8y=24 \\ y=(24)/(8)=3 \end{gathered}`

The y-intercept is (0, 3).