Question 161500
a) first, find the slope (m) __ slope=(change in y)/(change in x) __ m=(5-6)/(42-(-7)) __ m=-1/49


next, use point-slope to write the equation __ y-6=(-1/49)(x-(-7)) __ y-6=(-1/49)x-(1/7) __ y=(-1/49)x+(41/7)



b) perpendicular means that the slopes are negative reciprocals
__ the slope of the given line is 5, so the slope of the new line is -1/5


using point-slope (again) __ y-1=(-1/5)(x-0) __ y=(-1/5)x+1