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Chapter 2: Q46. (page 66)

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

y=4

Short Answer

Expert verified

The x-intercept of the given equation is not existing and the y-intercept is 4.

Step by step solution

01

Step 1- Given information

A linear equation y=4.

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,

y=4(1)

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

0=4

It is not possible.

Therefore, the x-intercept is not existing.

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

y=4

Therefore, the y-intercept is 4and coordinate is 0,4.

04

Step 4- Graph of the of the given equation

The graph of the given equation is:

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Most popular questions from this chapter

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

6x=-12y+48

Solve each inequality.

|x+4|>2

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or

D. the relationship cannot be determined from the information given.

The cost of 3 bananas and 2 apples is $1.50.

Column A

Column B

Cost of one apple

Cost of one banana

Graph each equation or inequality

鈥夆赌墆&濒迟;4x鈭�1

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

f(x)=6x-19
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