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Chapter 2: Q40. (page 66)

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

2x-6y=12

Short Answer

Expert verified

The x-intercept of the given equation is 6and the y-intercept is -2.

Step by step solution

01

Step 1- Given information

A linear equation 2x-6y=12.

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 ywhenlocalid="1647007060921" x=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 xwhen y=0.

03

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

From the given information,

2x-6y=12(1)

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

2x鈭�6脳0=12鈬�2x=12鈬�x=6

Therefore, the x-intercept is 6and the coordinate is 6,0.

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

2脳0鈭�6y=12鈬�鈭�6y=12鈬�y=鈭�2

Therefore, the y-intercept is -2 and coordinate is 0,-2.

04

Step 4- Graph of the of the given equation

The graph of the given equation is:

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