Answer:
[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]
Step-by-step explanation:
let D be the line that passes through the points (6, -1) and (-6, 2)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]
Since the point (6 , -1) lies on the line D then :
-1 = (-1/4) × (6) + b
then
-1 = (-6/4) + b
then
b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2
then
b = 1/2
Conclusion:
Since a = -1/4 and b = 1/2 then
[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]
