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Chapter 3: Q. 441 (page 356)

In the following exercises, graph the line of each equation using its slope and y-intercept.

4x-3y=12

Short Answer

Expert verified

The graph of the line is

Step by step solution

01

Step 1. Given information

The equation of line

4x-3y=12...................Equation (1)

02

Step 2. Identify the slope and y-intercept of the line

Rewrite equation (1)

4x-12=3y3y=4x-12y=134x-12

y=43x-4...............equation(2)

By comparing the given equation (2) with standard equation of line

y=mx+c

We get

m=43c=-4

That means slope is 43and y-intercept is (0, -4)

03

Step 3. Plot the y-intercept 

Plot the point (0, -4) in a rectangular coordinate system

04

Step 4. Identify the rise over the run 

Slope of the line43

m=43

So rise is 4 and run is 3

05

Step 5. Count out the rise and run to mark the second point  

Rise is 4 and run is 3

So mark another point on the same graph at a distance of 3 unit in right direction along x-axis and 4 unit in upward direction along y-axis from first point

06

Step 6. Connect both points and extend the line. 

The graph of the line is

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Most popular questions from this chapter

Graph: f(x) = 鈭�2

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