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

1 Answer

5 votes

Answer:

• 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:

Find the slope and the y-intercept of the line. Graph the line3x + 4y = 18-example-1
User Tom Rudge
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories