Question

Write the equation the shows this

Answer 1

General equation of line :

`y=mx+c`

Where,

`\begin{gathered} m\text{ = slope} \\ c\text{ = intercept } \end{gathered}`

Line pass through the point (-4,-6).

Slope of line is -2.

So:

`\begin{gathered} y=mx+c \\ m=-2 \\ \text{ line pass = (-4,-6)} \\ -6=-2(-4)+c \\ -6=8+c \\ c=-6-8 \\ c=-14 \end{gathered}`

So the equation of line is:

`\begin{gathered} y=mx+c \\ y=(-2)x+(-14) \\ y=-2x-14 \end{gathered}`