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Chapter 2: Q39. (page 66)

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

39.5x+3y=15

Short Answer

Expert verified

The x-intercept of the given equation is 3 and the y-intercept is 5.

Step by step solution

01

Step 1- Given information

A linear equation 5x+3y=15.

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,

5x+3y=15(1)

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

5x+3×0=15⇒5x=15⇒x=3

Therefore, the x-intercept is 3and the coordinate is 3,0.

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

5×0+3y=15⇒3y=15⇒y=5

04

Step 4- Graph of the of the given equation

The graph of the given equation is:

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