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Chapter 1: Q. 87 (page 42)

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y-x=0

Short Answer

Expert verified

Slope is1

y-intercept is(0,0)

The graph is

Verification:

Both graphs are the same.

Step by step solution

01

Step 1. Given information

The equation of a line is

y-x=0

02

Step 2. Finding the slope of line and y-intercept

The equation of the line is

y-x=0

Solve for y

y-x+x=0+xy=x+0y=1x+0

Compare with slope-intercept formula of a line y=mx+b

So,

m=1b=0

Therefore,

slope is 1

y-intercept is(0,0)

03

Step 3. Graphing the line by hand

Firstly, we can make a table of x and y values by selecting some random values of x and find y

x
y
1
1
2
2
3
3

Locate points (1,1),(2,2),(3,3)on the graph and then join them to sketch the graph

04

Step 4. Verify graph using the graphing utility

The graph by hand is

The graph using calculator is

Here, both graphs are the same.

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Most popular questions from this chapter

If (x,y)are the coordinates of a point P in the xy-plane, then x is called the ________ of P and y is the ________ of P.

On a real number line the origin is assigned the number _________ .

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Can the equation of every line be written in slope鈥搃ntercept form? Why?

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,0);(2,2)
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