Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and S(1,-5)?

Two lines are perpendicular if their slopes are in a relation .

So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.

To find slopes, use slope formula

The first slope of a line passing through is

The second slope of a line passing through is

Now check if is true

This means the two lines are perpendicular.

Hope this helps.

step-by-step explanation:

compare

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4