Answer:
• Slope= -3/4
,• y-intercept = 4.5
Explanation:
First, we express the line in the slop-intercept form:
[tex]y=mx+c[/tex]Given the line: 3x + 4y = 18
[tex]\begin{gathered} 3x+4y=18 \\ 4y=-3x+18 \\ y=-\frac{3}{4}x+\frac{18}{4} \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} \text{Slope,m}=-\frac{3}{4} \\ y-\text{intercept, c=}\frac{18}{4}=4.5 \end{gathered}[/tex]To graph the line, we use the x and y-intercepts.
When x=0, y=4.5 (0,4.5)
[tex]\begin{gathered} \text{When y=0} \\ 3x+4y=18 \\ 3x+4(0)=18 \\ 3x=18 \\ x=\frac{18}{3}=6 \end{gathered}[/tex]Therefore, when y=0, x=6 (6,0)
The line is attached below:
