Answer:
y = - 1/2x - 1/2
Step-by-step explanation:
Equation of line is y = mx + c
where m is the slope
c is the y intercept
Slope of the line using points
(1, -1) and (-3, 1) is
[tex]m = \frac{1 + 1}{ - 3 - 1} = - \frac{2}{4} = - \frac{1}{2} [/tex]
Equation of the line using point
( 1 , - 1) and slope - 1/2 is
[tex]y + 1 = - \frac{1}{2} (x - 1) \\ y + 1 = - \frac{1}{2} x + \frac{1}{2} \\ y = - \frac{ 1}{2} x + \frac{1}{2} - 1 \\ y = - \frac{1}{2} x - \frac{1}{2} [/tex]
Hope this helps you.
