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Use the intercepts from the graph below to determine the equation of the function.

Use the intercepts from the graph below to determine the equation of the function-example-1
Use the intercepts from the graph below to determine the equation of the function-example-1
Use the intercepts from the graph below to determine the equation of the function-example-2

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4 votes

Answer:

C) 4x + 2y = -8

Explanation:

The x-intercept is -2; the y-intercept is -4, so the intercept form of the equation of the line is ...

x/(x-intercept) + y/(y-intercept) = 1

x/(-2) +y/(-4) = 1

Multiplying by -8, we get ...

4x +2y = -8 . . . . matches choice C

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This may help you realize it is convenient to be familiar with several different forms of the equation of a line. Each form has its special use.

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If this equation were written in standard form, the extra factor of 2 would be removed:

2x +y = -4 . . . . . standard form of the above equation

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