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Chapter 3: Q. 438 (page 356)

In the following exercises, graph the line of each equation using its slope and y-intercept.

y=2x+3

Short Answer

Expert verified

The graph of the line is

Step by step solution

01

Step 1. Given information

The equation of line

y=2x+3...................Equation (1)

02

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

By comparing the given equation (1) with standard equation of line

y=mx+c

We get

m=2c=3

That means slope is 2 and y-intercept is (0,3)

03

Step 3. Plot the y-intercept

Plot the point 0,3in a rectangular coordinate system

04

Step 4. Identify the rise over the run

Slope of the line

Since, slope of the line is 2

m=2m=21

So rise is 2 and run is 1

05

Step 5. Count out the rise and run to mark the second point 

Rise is 2 and run is 1

So mark another point on the same graph at a distance of 1 unit in right direction along x-axis and 2 unit in upward direction along y-axis from first point

06

Step 6. Connect both points and extend the line.

The graph of the line is

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