Chapter 4: Q 168. (page 466)

Find the intercepts for $2 x + 3 y = 6$

Short Answer

Expert verified

The x-intercept is $(3, 0)$

The y-intercept is $(0, 2)$

Step by step solution

Step 1. Definition

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Step 2. Calculating x-intercept

To find x-intercept, let $y = 0$

$\Rightarrow 2 x + 3 (0) = 6$

$\Rightarrow x = 3$

So, the x-intercept is $(3, 0)$

Step 3. Calculating y-intercept

To find y-intercept, let $x = 0$

$\Rightarrow 2 (0) + 3 y = 6$

$\Rightarrow y = 2$

So, the y-intercept is $(0, 2)$

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Find the intercepts for $2 x + 3 y = 6$

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

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Find the intercepts for2x+3y=6

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Decision Maths

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the intercepts for $2 x + 3 y = 6$