Line a passes through the points (−1, 2) and (3, 4). Line b passes through the points (−5, 0) and (3, 4).

Answer 1

(-1.2),(3,4) has slope =(4-2)/(3+1) = 2/4= 1/2 = (y-4)/(x-3)

y-4 = x/2 - 3/2

y = .5x +2.5

(-5,0).(3,4) has slope = 4/(3+5)= 4/8 =1/2= y/(x+5)

y =.5x +2.5

interection point is seemingly given in the problem itself, right in plain sight: (3,4)

but the two line are the same, with an infinite number of "intersections" as they coincide at every point