Answer:
[tex]2x + y = 1\:or\:y = -2x + 1[/tex]
Step-by-step explanation:
First find the rate of change [slope]:
[tex]\frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]
[tex]\frac{-5 - 7}{2 + 4} = -\frac{12}{6} = -2[/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:
−7 = −2[4] + b
−8
[tex]1 = b \\ \\ y = -2x + 1[/tex]
If you want it in Standard Form:
y = −2x + 1
+2x + 2x
_________
[tex]2x + y = 1[/tex]
_______________________________________________
5 = [−2]² + b
4
[tex]1 = b \\ \\ y = -2x + 1[/tex]
y = −2x + 1
+2x + 2x
_________
[tex]2x + y = 1[/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.
