Question

Find the slope and the y-intercept of the line. Graph the line3x + 4y = 18

Answer 1

• Slope= -3/4

,

• y-intercept = 4.5

Step-by-step explanation:

First, we express the line in the slop-intercept form:

`y=mx+c`

Given the line: 3x + 4y = 18

`\begin{gathered} 3x+4y=18 \\ 4y=-3x+18 \\ y=-(3)/(4)x+(18)/(4) \end{gathered}`

Therefore:

`\begin{gathered} \text{Slope,m}=-(3)/(4) \\ y-\text{intercept, c=}(18)/(4)=4.5 \end{gathered}`

To graph the line, we use the x and y-intercepts.

When x=0, y=4.5 (0,4.5)

`\begin{gathered} \text{When y=0} \\ 3x+4y=18 \\ 3x+4(0)=18 \\ 3x=18 \\ x=(18)/(3)=6 \end{gathered}`

Therefore, when y=0, x=6 (6,0)

The line is attached below: