Q55. The form xa+yb=1聽is known as th... [FREE SOLUTION]

Chapter 2: Q55. (page 80)

The form $\frac{x}{a} + \frac{y}{b} = 1$ is known as the intercept form of the equation of a line because $a$ is the $x$ -intercept and $b$ is the $y$ -intercept.
Write the equation $2 x - y - 5 = 0$ in the intercept form.

Short Answer

Expert verified

The intercept form of the given equation is $\frac{x}{(\frac{5}{2})} + \frac{y}{(- 5)} = 1$ .

Step by step solution

– State the concept

Any linear equation of the form $a x + b y + c = 0$ can be converted to the form $\frac{x}{a} + \frac{y}{b} = 1$ using suitable algebraic operations.

– List the given data

The given equation is $2 x - y - 5 = 0$ .

– Convert to intercept form

$2 x - y - 5 = 0$ (Given equation)

$2 x - y - 5 + 5 = 0 + 5$ (Add 5 to both sides)

$2 x - y = 5$ (Simplify)

$\frac{2 x - y}{5} = \frac{5}{5}$ (Divide both sides by 5)

$\frac{2}{5} x - \frac{1}{5} y = 1$ (Simplify)

$\frac{x}{(\frac{5}{2})} + \frac{y}{(- 5)} = 1$ (Taking reciprocals of the coefficients)

So, $\frac{x}{(\frac{5}{2})} + \frac{y}{(- 5)} = 1$ is the intercept form of the given equation.

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The form $\frac{x}{a} + \frac{y}{b} = 1$ is known as the intercept form of the equation of a line because $a$ is the $x$ -intercept and $b$ is the $y$ -intercept.
Write the equation $2 x - y - 5 = 0$ in the intercept form.

Short Answer

Step by step solution

– State the concept

– List the given data

– Convert to intercept form

One App. One Place for Learning.

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91影视

The form xa+yb=1is known as the intercept form of the equation of a line because ais the x-intercept and bis the y-intercept.Write the equation 2x-y-5=0in the intercept form.

Short Answer

Step by step solution

– State the concept

– List the given data

– Convert to intercept form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Mechanics Maths

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

The form $\frac{x}{a} + \frac{y}{b} = 1$ is known as the intercept form of the equation of a line because $a$ is the $x$ -intercept and $b$ is the $y$ -intercept.
Write the equation $2 x - y - 5 = 0$ in the intercept form.