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Chapter 1: Q. 83 (page 42)

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

x=-4

Short Answer

Expert verified

Slope is undefined

y-intercept is undefined

The graph is

Verification:

Both graphs are the same.

Step by step solution

01

Step 1. Given information

The equation of a line is

x=-4

02

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

The equation of the line is

x=-4

Since this line is parallel to y-axis and any line parallel to y-axis is always vertical line.

Slope of vertical line is always undefined.

So, slope of this line is undefined

and y-intercept of this line is also undefined.

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-value is always -4for any values of y.

x
y
-4
1
-4
2
-4
3

Locate points (-4,1),(-4,2),(-4,3)on the graph and 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

The points, if any, at which a graph crosses or touches the

coordinate axes are called ___________.

True or false The point 1,2is on the line2x+y=4.

True or False

In using a graphing utility to solve an

equation, exact solutions are always obtained.

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

(2,0);(2,2)

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-5,-3);P2=(11,9)
See all solutions

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