Question

1. Which equation represents the line that passes through the points (4, 8) and (2, -6)?

Answer 1

D : y = 7x - 20

Explanation:

let D be the line that passes through the points (4, 8) and (2, -6)

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 = (8-(-6))/(4-2)=(14)/(2)=7`

Since the point (4, 8) lies on the line D then :

8 = 7 × (4) + b

then

8 = 28 + b

then

b = 8 - 28

= -20

Conclusion:

Since a = 7 and b = -20 then

D : y = 7x - 20