Chapter 3: Q. 41 (page 251)

Find the intercepts for the equation $4 x - y = 8$ .

Short Answer

Expert verified

The intercepts for the given equation are (2,0) and (0,-8).

Step by step solution

Given information

The equation is given as $4 x - y = 8$ .

Find the intercept on abscissa

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

The intercept on the abscissa is the point where the ordinate becomes zero.
Substitute each $y$ by 0 and find the solution to find the intercept on the abscissa.

$\begin{array}{rcl} 4 x - y & = & 8 \\ 4 x - 0 & = & 8 \\ 4 x & = & 8 \\ x & = & \frac{8}{4} \\ x & = & 2 \end{array}$

Find the intercepts on the ordinate

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

$\begin{array}{rcl} 4 x - y & = & 8 \\ 4 (0) - y & = & 8 \\ 0 - y & = & 8 \\ y & = & - 8 \end{array}$

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Find the intercepts for the equation $4 x - y = 8$ .

Short Answer

Step by step solution

Given information

Find the intercept on abscissa

Find the intercepts on the ordinate

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Find the intercepts for the equation4x-y=8.

Short Answer

Step by step solution

Given information

Find the intercept on abscissa

Find the intercepts on the ordinate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Decision Maths

Applied Mathematics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the intercepts for the equation $4 x - y = 8$ .