Question

Find an equation for the line that passes through the points (1, -1) and (-3, 1).

Answer 1

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

$m = \frac{1 + 1}{ - 3 - 1} = - \frac{2}{4} = - \frac{1}{2}$

Equation of the line using point

( 1 , - 1) and slope - 1/2 is

$y + 1 = - \frac{1}{2} (x - 1) \\ y + 1 = - \frac{1}{2} x + \frac{1}{2} \\ y = - \frac{ 1}{2} x + \frac{1}{2} - 1 \\ y = - \frac{1}{2} x - \frac{1}{2}$

Hope this helps you.