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Chapter 2: Q47. (page 73)

Graph the line that satisfies each set of conditions.

47. Passes through 2,-1 parallel to graph of 2x+3y=6.

Short Answer

Expert verified

The graph of the required line is:

Step by step solution

01

Step 1- Given information

A point (2,-1)and an equation 2x+3y=6.

02

Step 2- Calculation

From given information,

A point (2,-1)and 2x+3y=6

Here, x-intercept is:

2x+3脳0=6鈬�2x=6鈬�x=3

y- intercept is:

2脳0+3y=6鈬�3y=6鈬�y=2

Therefore, the line goes to 2 units below and 3 units right then.

So, the slope of the line is -23

We get a new point 5,-3.

Now we draw the line which is contained both the points (2,-1) and 5,-3.

03

Step 3- Graph of the line

The graph of the required line is:

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Most popular questions from this chapter

Solve each inequality.

-2<3x+1<7

Graph each equation or inequality

鈥�鈥�y鈮�10

Answer the question that was posed at the beginning of the lesson.

How do linear equations relate to time spent studying?

Include the following in your answer:

why only the part of the graph in the first quadrant is shown, and

an interpretation of the graph's intercepts in terms of the amount of time

Lolita spends on each subject.

If AC炉is 2 units, what is the value of t?

Find the slope of the line that passes through each pair of points

鈥�(8,-4),(6,1)
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