Answer :
Answer:
[tex]\displaystyle \boxed{-4x + y = 23}[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2}[/tex]
[tex]\displaystyle \frac{-19 + 35}{1 + 3} = \frac{16}{4} = 4[/tex]
Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:
35 = 4[3] + b
12
[tex]\displaystyle 23 = b \\ \\ y = 4x + 23[/tex]
Then convert to Standard Form:
y = 4x + 23
- 4x - 4x
__________
[tex]\displaystyle -4x + y = 23[/tex]
_______________________________________________
19 = 4[−1] + b
−4
[tex]\displaystyle 23 = b \\ \\ y = 4x + 23[/tex]
Then convert to Standard Form:
y = 4x + 23
- 4x - 4x
__________
[tex]\displaystyle -4x + y = 23[/tex]
** 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.