Question 163816
a. M __ slope is (13-9)/(5-3) __ 4/2 __ 2
__ using point-slope __ y-9=2(x-3) __ y-9=2x-6 __ y=2x+3


N __ slope is (-11-(-9))/(5-3) __ -2/2 __ -1
__ using point-slope __ y-(-9)=-1(x-3) __ y+9=-x+3 __ y=-x-6


b. at the point of intersection, the x's and y's of both equations are the same
__ 2x+3=-x-6 __ 3x=-9 __ x=-3
__ substituting to find y __ y=2(-3)+3 __ y=-3
__ intersection is (-3,-3)


c. at x-intercept, y=0
__ M __ 0=2x+3 __ -3=2x __ -3/2=x __ x-intercept is (-3/2,0)
__ N __ 0=-x-6 __ 6=-x __ -6=x __ x-intercept is (-6,0)


d. at y-intercept, x=0
__ M __ y=2(0)+3 __ y=+3 __ y-intercept is (0,3)
__ N __ y=-(0)-6 __ y=-6 __ y-intercept is (0,-6)