Answer:
Given Below.
question (a)
coordinates:
(0,1), (3,0)
slope:
[tex]\frac{0-1}{3-0}[/tex]
[tex]-\frac{1}{3}[/tex]
equation:
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 1 = -\frac{1}{3} (x-0)[/tex]
[tex]y = -\frac{1}{3}x+1[/tex]
question (b)
coordinates:
(0,-2) , (4, -1 )
slope:
[tex]\frac{-1--2}{4-0}[/tex]
[tex]\frac{1}{4}[/tex]
equation:
[tex]y - y1 = m(x - x1)[/tex]
[tex]y + 1 = \frac{1}{4} (x - 4)[/tex]
[tex]y=\frac{1}{4} x -1-1[/tex]
[tex]y=\frac{1}{4} x -2[/tex]
