Chapter 2: Q3. (page 65)

Write an equation of a line with an $x$ -intercept of $2$ .

Short Answer

Expert verified

One of the required equation is $y = x - 2$ .

Step by step solution

– Equation of line.

The graph of linear equation is always a straight line. The slope intercept form of a linear equation is:

$y = m x + b$ …(i)

Where m is the slope and b is the y-intercept.

– Given information.

The x-intercept of the required line is 2. It means the line passes through the point $(2, 0)$ .

– Write a linear equation.

Substitute $x = 2, y = 0$ in (i).

$\begin{matrix} 0 = m (2) + b \\ - b = 2 m \end{matrix}$

Let m=1, then

$\begin{matrix} - b = 2 (1) \\ - b = 2 \\ b = - 2 \end{matrix}$

Substitute $m = 1, b = - 2$ in (i).

$\begin{array}{l} y = (1) x + (- 2) \\ y = x - 2 \end{array}$

Thus, one of the required equation is $y = x - 2$ .

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Write an equation of a line with an $x$ -intercept of $2$ .

Short Answer

Step by step solution

– Equation of line.

– Given information.

– Write a linear equation.

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Write an equation of a line with an x-intercept of 2.

Short Answer

Step by step solution

– Equation of line.

– Given information.

– Write a linear equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Logic and Functions

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Write an equation of a line with an $x$ -intercept of $2$ .