249,563 views
22 votes
22 votes
Find the equation of the line passing through the points (2,-17) and (6,-19). Write your answer in the form Y=mx+b

User Touyets
by
2.6k points

1 Answer

10 votes
10 votes

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

User Alexander Vogt
by
2.0k points