Question

Write an equation of the line that passes through the given points.
(2,6) (-4,-2)

Answer 1

y = 8/6x + 10/3

Explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2) over (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3