Chapter 4: Q. 4.41 (page 459)

Find the intercepts of $3 x - 4 y = 12$ .

Short Answer

Expert verified

The x-intercept is $(4, 0)$ and the y-intercept is $(0, - 3)$ .

Step by step solution

Step 1. Given information.

The given equation is:

$3 x - 4 y = 12$

Step 2. Determine the x-intercept.

Substitute $y = 0$ in the given equation to find the x-intercept.

$\begin{array}{rcl} 3 x - 4 (0) & = & 12 \\ 3 x & = & 12 \\ x & = & \frac{12}{3} \\ x & = & 4 \end{array}$

The x-intercept is $(4, 0)$ .

Step 3. Determine the y-intercept.

Substitute $x = 0$ in the given equation to find the y-intercept.

$\begin{array}{rcl} 3 (0) - 4 y & = & 12 \\ - 4 y & = & 12 \\ y & = & \frac{12}{- 4} \\ y & = & - 3 \end{array}$

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

Step 4. Conclusion.

The x-intercept is $(4, 0)$ and the y-intercept is $(0, - 3)$ .

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Find the intercepts of $3 x - 4 y = 12$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the x-intercept.

Step 3. Determine the y-intercept.

Step 4. Conclusion.

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Find the intercepts of 3x-4y=12.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the x-intercept.

Step 3. Determine the y-intercept.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Decision Maths

Discrete Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the intercepts of $3 x - 4 y = 12$ .