Are the lines that goes through the points given below perpendicular? How do you know Line 1 goes through (-5,0) and (-3,-3) LIne 2 goes through (4,2) and (-2, -2)

Answer 1

To determine if the lines are perpendicular, we need to find the slopes of Line 1 and Line 2 by using the formula:

slope = (change in y) / (change in x)

For Line 1:
slope of Line 1 = (-3 - 0) / (-3 - (-5)) = -3 / 2 = -1.5

For Line 2:
slope of Line 2 = (-2 - 2) / (-2 - 4) = -4 / -6 = 2/3

If the product of the slopes of two lines is -1, then the lines are perpendicular.

In this case, (-1.5) * (2/3) = -1, so Line 1 and Line 2 are perpendicular.