Write the equation of the line with the following conditions: through (2, -1) and (8, 1)

In order to find the equation of the line that passes through the points (2,-1) and (8,1), you must find the slope.

y₁ ⇒ -1
y₂ ⇒ 1
x₂ ⇒8
x₁ ⇒ 2

Slope Formula:      y₂ - y₁         1 + 1          2           1
                              = = =  
                                x₂ - x₁          8 - 2           6           3

Slope Intercept Form: y = mx + b
m = slope
b = y - intercept

y = 1/3x is your final equation in slope intercept form.