eDEUKAEtion
eDEUKAEtion eDEUKAEtion
  • 10-01-2023
  • Mathematics
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Find the equation of the line that has the given x-intercept and y-intercept. Write the answer in standard form.​

Find the equation of the line that has the given xintercept and yintercept Write the answer in standard form class=

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devishri1977
devishri1977 devishri1977
  • 10-01-2023

Answer:

x - 4y = -4

Step-by-step explanation:

Standard form of a line: Ax + By = C

Equation of line in x-intercept and y-intercept form:

         [tex]\sf \boxed{\dfrac{x}{a}+\dfrac{y}{b}=1}[/tex]

Here a is x-intercept and b is y-intercept.

           a = -4 & b = 1

[tex]\sf \dfrac{x}{-4}+\dfrac{y}{1}=1\\\\\text{Mutiply the entire equation by (-4)},\\\\(-4)*\dfrac{x}{-4} + (-4)*\dfrac{y}{1}=1*(-4)\\\\\\x - 4y = -4[/tex]

Equation of line in standard form:

        x - 4y = -4

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