1) Calclate the slope of the line that passes through the given points (-8,-10) and (-6,-2)
slope = m = (y2 - y1) / (x2 - x1) = ( -2 - (-10) ) / ( -6 - (-8) ) = 8 / 2 = 4.
2) The slope of a perpendiicular line to that is - 1 / m = - 1/4
So any line with slope -1/4 will be perpendicular.
These are some equations with slope equal to -1/4
a) y = - 1/4x - 100
b) y = -1/4 x + 2
c) y = -1/4x + 67
d) y = -1/4x +2/5
So, with that you have should now how to pick the equation that represents a line that is perpendicular to the line that passes through the diven points.
