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Q41.

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Algebra 2
Found in: Page 66
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

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

41.3x-4y-10=0

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

See the step by step solution

Step by Step Solution

Step 1- Given information

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

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 when 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 x when y=0.

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

From the given information,

3x4y10=03x4y=10(1)

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

3x4×0=103x=10x=103

Therefore, the x-intercept is 103 and the coordinate is

103,0.

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

3×04y=104y=10y=52

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

Step 4- Graph of the of the given equation

The graph of the given equation is:

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