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Chapter 1: Q. 71 (page 42)

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

y=2x+3

Short Answer

Expert verified

Slope is2

y-intercept is(0,3)

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=2x+3

02

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

The equation of line is y=2x+3

Compare with slope-intercept formula of a line

y=mx+b

So, m=2,b=3

Therefore,

slope is 2

y-intercept is(0,3)

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=2x+3
-2
-1
0
3
2
7

Locate points (-2,-1),(0,3),(2,7)on the graph and join them to get the equation of line.

04

Step 4. Verify graph using the graphing utility

The graph by hand is

The graph using a calculator is

Here, both graphs are the same.

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Most popular questions from this chapter

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

A student is asked to find the slope of the line joining (-3, 2) and (1, -4). He states that the slope is 32. Is he correct? If not, what went wrong?

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x+7x-1=x+12

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
x3+2x2-9x-18=0

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

P1=(-2,0);P2=(2,4)
See all solutions

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