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Chapter 2: Q41. (page 66)

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

41.3x-4y-10=0

Short Answer

Expert verified

The x-intercept of the given equation is 103 and the y-intercept is -52.

Step by step solution

01

Step 1- Given information

A linear equation 3x-4y-10=0.

02

Step 2- Concept used

The y-coordinate of the point at which a graph crosses the y-axis is called the y-intercept.

So, the y-intercept is the value of y whenx=0.

The x-coordinate of the point at which a graph crosses the x-axis is called the x-intercept.

So, the x-intercept is the value of x when y=0.

03

Step 3- To find the x-intercept and y-intercept.

From the given information,

3x鈭�4y鈭�10=0鈬�3x鈭�4y=10(1)

Substitute the y=0in the equation (1).

3x鈭�4脳0=10鈬�3x=10鈬�x=103

Therefore, the x-intercept is103and the coordinate is

103,0.

Now, substitute the x=0in the given equation (1).

3脳0鈭�4y=10鈬�鈭�4y=10鈬�y=鈭�52

Therefore, the y-intercept is -52 and coordinate is 0,-52.

04

Step 4- Graph of the of the given equation

The graph of the given equation is:

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