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Chapter 5: Q. 5 (page 352)

Graph the line2x-4y=16

Short Answer

Expert verified

Graph of line 2x-4y=16is

Step by step solution

01

Step 1. Given information:

Given equation of line: 2x-4y=16

We want to graph the given line.

02

Step 2. Solution:

We will drive line 2x-4y=16by switching it to the form y=mx+b, where m represents slope.

2x-4y=16-4y=-2x+16y=12x-4

Due to - 4 in the line y=12x-4we conclude that the line intersect the y-axis at -4 (i.e. passes through the point A(0, - 4) ).

The line in the plane is determine by two points. Therefore, to draw a line we need another point. Take for example x = 2 (it is easier to take any number that is a multiple of the number 2 due to 12in front of x):

y=012x-4=012x=4x=8I鈬�(8,0)

Let's draw points A(0,-4) and B(2,-3) on the graph and then draw a line through these two points:

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