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Chapter 3: Q. 59 (page 252)

Graph a line using the intercepts.

y=x

Short Answer

Expert verified

x-intercept is(0,0)

y-intercept is(0,0)

The graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

y=x

02

Step 2. Finding x-intercepts

Plug y=0and find xvalue

0=xx=0

So, the x-intercept is(0,0)

03

Step 3. Finding y-intercept

Plug x=0and find yvalue

y=0

So, the y-intercept is (0,0)

04

Step 4. Finding any two points.

Select any random values of xand find yvalues

x
y=x
-1
-1
1
1
05

Step 5. Sketching the graph of a line

Locate points(0,0),(-1,-1),(1,1) on the graph and then join them to get the equation of a line.

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