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Chapter 2: Q10. (page 65)

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

x-y-2=0

Short Answer

Expert verified

The x-intercept is 2 and y-intercept is -2. The graph of the equation is:

Step by step solution

01

– Definition of intercepts.

The x-intercept is the point where the graph intersect the x-axis. It is the value of x when y=0.

The y-intercept is the y-intercept is the point where the graph intersect the x-axis. It is the value of y when x=0.

02

– Find the x-intercept.

The given equation is:

x-y-2=0

Substitute y=0 in the given equation.
x鈭�(0)鈭�2=0x鈭�2=0x=2

The x-intercept is 2. The graph crosses the x-axis at 2,0.

03

– Find the y-intercept.

Substitute x=0 in the given equation.
(0)鈭�y鈭�2=0鈭�y鈭�2=0鈭�y=2y=鈭�2

The y-intercept is -2. The graph crosses the y-axis at 0,-2.

04

– Draw the graph.

Plot the points 2,0and 0,-2on a coordinate plane and connect them by a straight line as shown below:

Thus, the x-intercept is 2 and y-intercept is -2.

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Most popular questions from this chapter

Write each equation in standard form. Identify A, B and C.

5y=10x-25

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

2x+5y-10=0

Simplify each expression.

70. [19-(8-1)]梅3

62. Which function is linear

(A)f(x)=x2

Bgx=2.7

(C)g(x)=x鈭�1

(D)f(x)=9鈭�x2

Name the x-and y-intercepts of the graph shown at the right.
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