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91Ó°ÊÓ

Graph each equation by making a table.

y=−2x

Short Answer

Expert verified

The graph for equationy=−2x is:

Step by step solution

01

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.
02

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=0in the equation y=−2x and solve for y.

y=−20=0

For x=1,

y=−21=−2

For x=−1,

y=−2−1=2

Therefore, the table thus obtained is:

x

0

1

-1

y

0

-2

2

03

Step 3. Plot the graph.

Graph the equation y=−2xby plotting the values from the table and get:

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