Question

Refer to the equation 4x + 3y = 24

(a) Complete the table of values for at least 2 points. Show your work
(b) Use the table of values to graph the line.
You must complete all parts to receive full credit

Answer 1

See explanation

Explanation:

You are given the equation
`4x+3y=24`

1. When x = 0, then

`4\cdot 0+3y=24\\ \\3y=24\\ \\y=8`

When y = 0, then

`4x+3\cdot 0=24\\ \\4x=24\\ \\x=6`

When x = 3, then

`4\cdot 3+3y=24\\ \\12+3y=24\\ \\3y=12\\ \\y=4`

Complete the table:

`\begin{array}{cc}x&y\\0&8\\3&4\\6&0\end{array}`

2. Use the table of values to graph the line. Plot two points (0,8) and (6,0) and connect them with a straight line. See attached diagram for details.