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In the following exercises, graph using the intercepts.

2x-5y=-20.

Short Answer

Expert verified

The graph is as follows,

Step by step solution

01

Step 1. Given Information.

The equation is2x-5y=-20.

  • Find the intercepts.
  • Make the table for graph.
  • Draw the graph.
02

Step 2. Explanation.

Find the intercept and third point.

To find y-intercept, substitute x=0in the equation.

2x-5y=-202(0)-5y=-20-5y=-20y=4

To find x-intercept, substitute y=0in the equation.

2x-5y=-202x-5(0)=-202x=-20x=-10

To find third point consider x be any number.

Let x=4.

2x-5y=-202(4)-5y=-208-5y=-20-5y=-28y=285

The table is as follows,

xyx,y
040,4
-100-10,0
4285
  1. 4,285
03

Step 3. Draw the graph.

The graph is as follows,

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