Chapter 4: Q. 4.96 (page 507)

Determine the most convenient method to graph each line:
(a) $x = 6$
(b) $y = - \frac{3}{4} x + 1$
(c) $y = - 8$
(d) $4 x - 3 y = - 1$

Short Answer

Expert verified

The most convenient method to graph each line are:

(a) The graph is a vertical line crossing the x-axis at 6.

(b) Graph this line by using the slope and y-intercept.

(d) The easiest way to graph it will be to find the intercepts and one more point.

Step by step solution

Part (a) Step 1. Given information.

The given equation is:

$x = 6$

Part (a) Step 2. Determine the most convenient method to graph the line.

There is only one variable, x. The graph is a vertical line crossing the x-axis at 6.

Part (b) Step 1. Given information.

The given equation is:

$y = - \frac{3}{4} x + 1$

Part (b) Step 2. Determine the most convenient method to graph the line.

Since this equation is in $y = m x + b$ form, it will be easiest to graph this line by using the slope and y-intercept.

Part (c) Step 1. Given information.

The given equation is:

$y = - 8$

Part (c) Step 2. Determine the most convenient method to graph the line.

This equation has only one variable, y. Its graph is a horizontal line crossing the y-axis at $- 8$ .

Part (d) Step 1. Given information.

The given equation is:

$4 x - 3 y = - 1$

Part (d) Step 2. Determine the most convenient method to graph the line.

This equation is of the form $A x + B y = C$ . The easiest way to graph it will be to find the intercepts and one more point.

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Determine the most convenient method to graph each line:
(a) $x = 6$
(b) $y = - \frac{3}{4} x + 1$
(c) $y = - 8$
(d) $4 x - 3 y = - 1$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Determine the most convenient method to graph the line.

Part (b) Step 1. Given information.

Part (b) Step 2. Determine the most convenient method to graph the line.

Part (c) Step 1. Given information.

Part (c) Step 2. Determine the most convenient method to graph the line.

Part (d) Step 1. Given information.

Part (d) Step 2. Determine the most convenient method to graph the line.

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Determine the most convenient method to graph each line:(a)x=6(b)y=-34x+1(c)y=-8(d)4x-3y=-1

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Determine the most convenient method to graph the line.

Part (b) Step 1. Given information.

Part (b) Step 2. Determine the most convenient method to graph the line.

Part (c) Step 1. Given information.

Part (c) Step 2. Determine the most convenient method to graph the line.

Part (d) Step 1. Given information.

Part (d) Step 2. Determine the most convenient method to graph the line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Statistics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Determine the most convenient method to graph each line:
(a) $x = 6$
(b) $y = - \frac{3}{4} x + 1$
(c) $y = - 8$
(d) $4 x - 3 y = - 1$