Question

Find an equation for the line that passes through the points (6, -1) and (-6, 2).

Answer 1

`D : y = (-1)/(4)x + (1)/(2)`

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:

`a = (-1-2)/(6-(-6))= (-3)/(12)= (-1)/(4)`

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

`D : y = (-1)/(4)x + (1)/(2)`