Question

Write an equation in slope intercept form of a line that passes through (-2, 1) and (4,2).

Answer 1

`\displaystyle y = (1)/(6)x + 1(1)/(3)`

Explanation:

First, find the rate of change [slope]:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-1 + 2)/(2 + 4) = (1)/(6)`

Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

2 = ⅙[4] + b

⅔

`\displaystyle 1(1)/(3) = b \\ \\ y = (1)/(6)x + 1(1)/(3)`

_______________________________________________

1 = ⅙[−2] + b

−⅓

`\displaystyle 1(1)/(3) = b \\ \\ y = (1)/(6)x + 1(1)/(3)`

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.