Chapter 3: Q6. (page 179)

Graph each equation by making a table.
$y = - 2 x$

Short Answer

Expert verified

The graph for equation $y = - 2 x$ is:

Step by step solution

Step 1. State the concept for plotting a straight-line using equation.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

Then, algebraically,

an x-intercept is a point on the graph where y is zero, and
a y-intercept is a point on the graph where x is zero.

More specifically,

an x-intercept is a point in the equation where the y-value is zero, and
a y-intercept is a point in the equation where the x-value is zero.

Step 2. Create a table of values for the equation.

In order to create the table of values use different values of x to solve fory, and graph the values.

Plug in $x = 0$ in the equation $y = - 2 x$ and solve for y.

$y = - 2 (0) = 0$

For $x = 1$ ,

$y = - 2 (1) = - 2$

For $x = - 1$ ,

$y = - 2 (- 1) = 2$

Therefore, the table thus obtained is:

x	0	1	$- 1$
y	0	$- 2$	2

Step 3. Plot the graph.

Graph the equation $y = - 2 x$ by plotting the values from the table and get:

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Graph each equation by making a table.
$y = - 2 x$

Short Answer

Step by step solution

Step 1. State the concept for plotting a straight-line using equation.

Step 2. Create a table of values for the equation.

Step 3. Plot the graph.

One App. One Place for Learning.

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Graph each equation by making a table.y=−2x

Short Answer

Step by step solution

Step 1. State the concept for plotting a straight-line using equation.

Step 2. Create a table of values for the equation.

Step 3. Plot the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Mechanics Maths

Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph each equation by making a table.
$y = - 2 x$