Question

Find the equation of the line passing through the points (2,-17) and (6,-19). Write your answer in the form Y=mx+b

Answer 1

The equation of a line between two points is given by:

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

plugging the values given we have:

`\begin{gathered} y-(-17)=(-19-(-17))/(6-2)(x-2) \\ y+17=(-19+17)/(6-2)(x-2) \\ y+17=-(2)/(4)(x-2) \\ y+17=-(1)/(2)(x-2) \\ y+17=-(1)/(2)x+1 \\ y=-(1)/(2)x+1-17 \\ y=-(1)/(2)x-16 \end{gathered}`

Therefore the equation of the line is:

`y=-(1)/(2)x-16`