Chapter 2: Q56. (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.
56. Identify the $x$ - and $y$ -intercepts of the graph of $2 x - y - 5 = 0$ .

Short Answer

Expert verified

The $x$ -intercept of the given equation is $\frac{5}{2}$ and the $y$ -intercept of the given equation is $- 5$ .

Step by step solution

– State the concept

The graph of $\frac{x}{a} + \frac{y}{b} = 1$ has $x$ -intercept $a$ and $y$ -intercept $b$ .

– List the given data

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

– Determine the intercepts

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

Comparing with $\frac{x}{a} + \frac{y}{b} = 1$ , $a = \frac{5}{2}$ and $b = - 5$ .

Thus, the $x$ -intercept is $a = \frac{5}{2}$ and $y$ -intercept is $b = - 5$ .

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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.
56. Identify the $x$ - and $y$ -intercepts of the graph of $2 x - y - 5 = 0$ .

Short Answer

Step by step solution

– State the concept

– List the given data

– Determine the intercepts

One App. One Place for Learning.

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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.56. Identify the x- and y-intercepts of the graph of 2x-y-5=0.

Short Answer

Step by step solution

– State the concept

– List the given data

– Determine the intercepts

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Pure Maths

Mechanics Maths

Logic and Functions

Statistics

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.
56. Identify the $x$ - and $y$ -intercepts of the graph of $2 x - y - 5 = 0$ .