Chapter 1: Q. 97 (page 42)

$\frac{1}{2} x + \frac{1}{3} y = 1$
(a) find the intercepts of the graph of equation
(b) graph the equation.

Short Answer

Expert verified

Part (a) x-intercept: 2; y-intercept: 3

Part (b) Graph of the equation, $\frac{1}{2} x + \frac{1}{3} y = 1$

Step by step solution

Part (a) Step 1. Given information

Equation of a line: $\frac{1}{2} x + \frac{1}{3} y = 1$

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

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

$\frac{1}{2} x + \frac{1}{3} (0) = 1$

$\frac{1}{2} x + 0 = 1$

$\frac{1}{2} x = 1$

$x = 2$

Part (a) Step 3. Finding y-intercept

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

$\frac{1}{2} (0) + \frac{1}{3} y = 1$

$0 + \frac{1}{3} y = 1$

$\frac{y}{3} = 1$

$y = 3$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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$\frac{1}{2} x + \frac{1}{3} y = 1$
(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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12x+13y=1(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

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

$\frac{1}{2} x + \frac{1}{3} y = 1$
(a) find the intercepts of the graph of equation
(b) graph the equation.