Chapter 1: Q. 96 (page 42)

$5 x + 3 y = 18$
(a) find the intercepts of the graph of equation
(b) graph the equation.

Short Answer

Expert verified

Part (a) x-intercept: 3.6 ; y-intercept: 6

Part (b) Graph of the equation, $5 x + 3 y = 18$

Step by step solution

Part (a) Step 1. Given information

Equation of a line: $5 x + 3 y = 18$

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

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

$5 x + 3 (0) = 18$

$5 x + 0 = 18$

$5 x = 18$

$x = \frac{18}{5}$

$x = 3.6$

Part (a) Step 3. Finding y-intercept

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

$5 (0) + 3 y = 18$

$0 + 3 y = 18$

$3 y = 18$

$y = \frac{18}{3}$

$y = 6$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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$5 x + 3 y = 18$
(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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5x+3y=18(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

Statistics

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

$5 x + 3 y = 18$
(a) find the intercepts of the graph of equation
(b) graph the equation.