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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 4.21 (page 438)

Graph the equation by plotting points: $y = 2 x - 3$ .

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Graph the equation by plotting points: $y = 2 x - 3$ .

02

Step 2. Find three points whose coordinates are solutions to the equation.

You can choose any value for x and y.

In this case since y is isolated on the left side of the equation. It is easier to choose values of x.

03

Step 3. The given equation is y=2x-3Finding the point by putting the values.

$x = 0 x = 1 x = 2 y = 2 x - 3 y = 2 x - 3 y = 2 x - 3 y = 2 \times 0 - 3 y = 2 \times 1 - 3 y = 2 \times 2 - 3 y = 0 - 3 y = 2 - 3 y = 4 - 3 y = - 3 y = - 1 y = 1$

04

Step 4. Put the three solution in the table.

05

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,-3), (1,-1), (2,1)

06

Step 6. Draw the lines through the three points.

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Most popular questions from this chapter

Complete the table to find three solutions to this equation:

In the following exercises, find three solutions to each linear equation.

$4 x - 3 y = 12$

Find the equation of the line shown in the graph. Write the equation in slope–intercept form.

Find an equation of a line with slope $- 1$ and y-intercept $(0, - 3)$ .

In the following exercises, complete the table to find solutions to each linear equation.

See all solutions

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