Chapter 1: Q. 98 (page 42)

$x - \frac{2}{3} y = 4$
(a) find the intercepts of the graph of equation
(b) graph the equation.

Short Answer

Expert verified

Part (a) x-intercept: 4; y-intercept: $- 6$

Part (b) Graph of the equation, localid="1647080422084" $x - \frac{2}{3} y = 4$

Step by step solution

Part (a) Step 1. Given information

Equation of a line: $x - \frac{2}{3} y = 4$

Part (a) Step 2. Finding the x-intercept

To find the x-intercept, put $y = 0$

$x - \frac{2}{3} (0) = 4$

$x - 0 = 4$

$x = 4$

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put $x = 0$

$0 - \frac{2}{3} y = 4$

$- \frac{2}{3} y = 4$

$y = - \frac{3 \times 4}{2}$

$y = - 6$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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$x - \frac{2}{3} y = 4$
(a) find the intercepts of the graph of equation
(b) graph the equation.

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Finding the x-intercept

Part (a) Step 3. Finding y-intercept

Part (b) Step 1. Graphing the equation

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x-23y=4(a) find the intercepts of the graph of equation(b) graph the equation.

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Finding the x-intercept

Part (a) Step 3. Finding y-intercept

Part (b) Step 1. Graphing the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

$x - \frac{2}{3} y = 4$
(a) find the intercepts of the graph of equation
(b) graph the equation.