Answer:
3x + 5y = 4 or y = -⅗x + ⅘
Explanation:
First, find the Rate of change [Slope]:
-y₁ + y₂\-x₁ + x₂ = m
-2 - 1\2 + 3 = -⅗
Apply the Point-Slope Formula, y - y₁ = m(x - x₁), since we are given points. It does not matter which one you choose. NOTE: All negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs:
y + 1 = -⅗(x - 3)
y + 1 = -⅗x + 1⅘
- 1 - 1
_________________
y = -⅗x + ⅘ >> Line in Slope-Intercept Form
If you want it in Standard Form:
y = -⅗x + ⅘
+⅗x +⅗x
____________
⅗x + y = ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅗x + y = ⅘]
3x + 5y = 4 >> Line in Standard Form
__________________________________________________________
y - 2 = -⅗(x + 2)
y - 2 = -⅗x - 1⅕
+ 2 + 2
________________
y = -⅗x + ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅗x + y = ⅘]
3x + 5y = 4 >> Line in Standard Form
I am joyous to assist you anytime.
** You see? I told you it did not matter which ordered pair you choose because you get the EXACT SAME RESULT. :]