Answer:
[tex]\displaystyle 4x - y = -3, -4x + y = 3\:OR\:y = 4x - 3[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{5 + 7}{2 + 1} = \frac{12}{3} = 4[/tex]
Now plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula, since it is much swifter that way. It does not matter which ordered pair you choose:
7 = 4 + b
[tex]\displaystyle 3 = b \\ \\ y = 4x + 3[/tex]
If you want it in Standard Form:
y = 4x + 3
- 4x - 4x
_________
[tex]\displaystyle -4x + y = 3\:OR\:4x - y = -3[/tex]
_______________________________________________
−5 = 4[−2] + b
−8
[tex]\displaystyle 3 = b \\ \\ y = 4x + 3[/tex]
If you want it in Standard Form:
y = 4x + 3
- 4x - 4x
_________
[tex]\displaystyle -4x + y = 3\:OR\:4x - y = -3[/tex]
** You see? I told you that it did not matter which ordered pair you choose [as long your rate of change is correct] because you will ALWAYS get the exact same result.
I am joyous to assist you anytime.
