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Write the equation of the line, in standard form, using the following information:Slope: 2Point: (3,-5)Equation:(Do not use any spaces in your answer. Do notuse mixed numerals. Simplify as much as possible.)

Sagot :

We have to use the point-slope formula to find the equation

[tex]y-y_1=m(x-x_1)[/tex]

Where,

[tex]\begin{gathered} m=2 \\ x_1=3 \\ y_1=-5 \end{gathered}[/tex]

Let's replace these values

[tex]\begin{gathered} y-(-5)=2(x-3) \\ y+5=2x-6 \\ y=2x-6-5 \\ y=2x-11 \end{gathered}[/tex]

To find the standard form, we have to move all the terms with variables to the left side of the equation. So, the standard form is

[tex]-2x+y=-11[/tex]

Where A = -2, B = 1 and C = -11.sw

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