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graph the line represented by the equation 2x + 3y = 8

Sagot :

Given the equation

2x + 3y = 8

The given equation represents a line

It is required at minimum two points to graph the line

So, assume two value for x and find y using the given equation

When x = -2

2 * -2 + 3y = 8

-4 + 3y = 8

3y = 8 + 4

3y = 12

y = 12/3 = 4

so, the point (-2 , 4) lie on the line

And assume x = 4

so, 2 * 4 + 3y = 8

8 + 3y = 8

3y = 0

y = 0

So, the point (4 , 0) lie on the line

so, the line is passing through the points (-2 , 4) and ( 4 , 0)

By connecting the points and extending the line we will get the graph of 2x + 3y = 8

See the following image;

View image ValoraM628570
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