Question

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.)

Answer 1

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

`y-y_1=m(x-x_1)`

Where,

`\begin{gathered} m=2 \\ x_1=3 \\ y_1=-5 \end{gathered}`

Let's replace these values

`\begin{gathered} y-(-5)=2(x-3) \\ y+5=2x-6 \\ y=2x-6-5 \\ y=2x-11 \end{gathered}`

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

`-2x+y=-11`

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