Question

What is the equation of the graphed line written in standard form? 1. 2x + 3y = -6 2. 2x + 3y = 6 3. y= -2/3 x -24. y= 2/3 x -2

Answer 1

Step 1

Write the point form slope equation of a line

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Wherefrom the graph

`\begin{gathered} y_2=0 \\ x_2=-3 \\ x_1=0 \\ y_1=-2 \end{gathered}`

Step 2

Substitute and get the equation

`\begin{gathered} y\text{ -(-2)=}(0-(-2))/(-3-0)(x-0) \\ y+2=(2)/(-3)x \\ y\text{ = -}(2)/(3)x-2 \end{gathered}`

Hence the right answer is option C