Question

Create the linear equation from the points (3,3) and (1,-5).

Answer 1

Answer:

$-4x + y = -9\:or\:y = 4x - 9$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 5}{-3 + 1} = \frac{-8}{-2} = 4$

Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly that way. It does not matter which ordered pair you choose::

−5 = 4 + b

$\displaystyle -9 = b \\ \\ y = 4x - 9$

If you want it in Standard Form:

y = 4x - 9

- 4x - 4x

_________

$\displaystyle -4x + y = -9$

_______________________________________________

3 = 4[3] + b

12

$\displaystyle -9 = b \\ \\ y = 4x - 9$

y = 4x - 9

- 4x - 4x

_________

$\displaystyle -4x + y = -9$

** 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.