Chapter 1: Q. 92 (page 42)

(a) Find the intercepts of the graph of the equation
(b) Graph the equation
$3 x - 2 y = 6$

Short Answer

Expert verified

(a)

x-intercept is $(2, 0)$

y-intercept is $(0, - 3)$

(b)

Step by step solution

Step 1. Given information

The equation of a line is

$3 x - 2 y = 6$

Step 2. Finding the x-intercept

The equation of the line is

$3 x - 2 y = 6$

Plug $y = 0$ and find y-value

$3 x - 2 \times 0 = 6 3 x - 0 = 6 3 x = 6 x = 2$

So,

x-intercept is $(2, 0)$

Step 3. Finding the y-intercept

The equation of a line is

$3 x - 2 y = 6$

Plug $x = 0$ and find y-value

$3 \times 0 - 2 y = 6 0 - 2 y = 6 - 2 y = 6 y = - 3$

So,

y-intercept is $(0, - 3)$

Step 4. Sketching the graph

Locate intercept points $(2, 0), (0, - 3)$ on the graph and then join them to sketch the graph.

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(a) Find the intercepts of the graph of the equation
(b) Graph the equation
$3 x - 2 y = 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the x-intercept

Step 3. Finding the y-intercept

Step 4. Sketching the graph

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(a) Find the intercepts of the graph of the equation(b) Graph the equation3x-2y=6

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the x-intercept

Step 3. Finding the y-intercept

Step 4. Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Calculus

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

(a) Find the intercepts of the graph of the equation
(b) Graph the equation
$3 x - 2 y = 6$