Answer:
[tex]6x + 5y = 15\:or\:y = -1\frac{1}{5}x + 3[/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{3 + 15}{-5 - 10} = -\frac{18}{15} = -1\frac{1}{5}[/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:
15 = −1⅕[−10] + b
12
[tex]3 = b \\ \\ y = -1\frac{1}{5}x + 3[/tex]
If you want it in Standard Form:
y = −1⅕x + 3
+1⅕x + 1⅕x
______________
[tex]1\frac{1}{5}x + y = 3[/tex][We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
5[1⅕x + y = 3]
[tex]6x + 5y = 15[/tex]
_______________________________________________
−3 = −1⅕[5] + b
−6
[tex]3 = b \\ \\ y = -1⅕x + 3[/tex]
y = −1⅕x + 3
+1⅕x + 1⅕x
______________
[tex]1⅕x + y = 3[/tex][We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
5[1⅕x + y = 3]
[tex]6x + 5y = 15[/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.
