Chapter 3: Q. 44 (page 252)

Find the intercepts of the equation $3 x - 2 y = 12$ .

Short Answer

Expert verified

The intercepts of the given equation are (4,0) and (0,-6).

Step by step solution

Given information

The equation is given as $3 x - 2 y = 12$ .

Find the intercepts on the abscissa

Apply the definition of the intercepts to find the required answer to the given problem.

Substitute each $y$ by 0 into the given equation and solve to find the intercepts of the given equation on the abscissa.

$\begin{array}{rcl} 3 x - 2 y & = & 12 \\ 3 x - 2 (0) & = & 12 \\ 3 x & = & 12 \\ x & = & \frac{12}{3} \\ x & = & 4 \end{array}$

Find the intercepts on the ordinate

Now substitute each $x$ by 0 into the given equation and solve to find the intercepts on the ordinate.

$\begin{array}{rcl} 3 x - 2 y & = & 12 \\ 3 (0) - 2 y & = & 12 \\ 0 - 2 y & = & 12 \\ - 2 y & = & 12 \\ y & = & \frac{12}{- 2} \\ y & = & - 6 \end{array}$

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Find the intercepts of the equation $3 x - 2 y = 12$ .

Short Answer

Step by step solution

Given information

Find the intercepts on the abscissa

Find the intercepts on the ordinate

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Find the intercepts of the equation3x-2y=12.

Short Answer

Step by step solution

Given information

Find the intercepts on the abscissa

Find the intercepts on the ordinate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Probability and Statistics

Applied Mathematics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the intercepts of the equation $3 x - 2 y = 12$ .