Answer:
2x + 5y = -15
Step-by-step explanation:
First, find the Rate of change [Slope]:
-y₁ + y₂\-x₁ + x₂ = m
1 - 7\5 + 10 = -⅖
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 + 7 = -⅖(x - 10)
y + 7 = -⅖x + 4
- 7 - 7
_________________
y = -⅖x - 3 >> Line in Slope-Intercept Form
Here it is in Standard Form:
y = -⅖x - 3
+⅖x +⅖x
____________
⅖x + y = -3 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅖x + y = -3]
2x + 5y = -15 >> Line in Standard Form
__________________________________________________________
y + 1 = -⅖(x + 5)
y + 1 = -⅖x - 2
- 1 - 1
________________
y = -⅖x - 3 Line in Slope-Intercept Form
y = -⅖x - 3
+⅖x +⅖x
___________
⅖x + y = -3 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅖x + y = -3]
2x + 5y = -15 >> Line in Standard Form
** 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.
