Question: find the points of intersection of a the line with...

Find the point(s) of intersection of: 

1. 1. a)  The line with gradient 4 and 𝑦-intercept 3/2 and the line passing through the points

       

      (−4,2) and (1, −3)

   2. b)  The line parallel to 2𝑥 + 3𝑦 − 5 = 0 and passing through the point (−2,5) and the

      line perpendicular to 2𝑥 + 3𝑦 − 5 = 0 and passing through the point (−1, −2)

   3. c)  The line 3𝑥−𝑦−9=0 and the parabola 𝑦=2𝑥squared −5𝑥−1

   4. d)  The parabolas 𝑦=3𝑥squared+4𝑥+1 and 1/3𝑦=(𝑥−2)squared−1