## Question

###### Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (-2,2). Are lines QR and ST parallel or perpendicular?

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (-2,2). Are lines QR and ST parallel or perpendicular?

## Answers

Lines are parallel.

## Explanation:

For finding whether lines

#QR# and#ST# are parallel or perpendicular, what we need is ti find their slopes.If

slopes are equal, lines areparalleland ifproduct of slopes isthey are#-1# ,perpendicular.The slope of a line joining points

#(x_1,y_1)# and#x_2,y_2)# is#(y_2-y_1)/(x_2-x_1)# .Hence slope of

#QR# is#(10-8)/(3-2)=2/1=2# and slope of

#ST# is#(2-6)/(-2-0)=(-4)/(-2)=2# As the slopes are equal, lines are parallel.

graph{(y-2x-4)(y-2x-6)=0 [-9.66, 10.34, -0.64, 9.36]}

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