Question

Write your answers as integers or as reduced fractions in the form A/B.

Answer 1

The equation of a line that passes through two points is given by:

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

Plugging the values of the points given we have that:

`\begin{gathered} y-(-21)=(-3-(-21))/(-2-2)(x-2) \\ y+21=(18)/(-4)(x-2) \\ y+21=-(9)/(2)(x-2) \\ y+21=-(9)/(2)x+9 \\ y=-(9)/(2)x+9-21 \\ y=-(9)/(2)x-12 \end{gathered}`

Therefore the equation of the line is:

`y=-(9)/(2)x-12`