Answer:
[tex]\displaystyle y = \frac{1}{6}x + 1\frac{1}{3}[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 2}{2 + 4} = \frac{1}{6}[/tex]
Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:
2 = ⅙[4] + b
⅔
[tex]\displaystyle 1\frac{1}{3} = b \\ \\ y = \frac{1}{6}x + 1\frac{1}{3}[/tex]
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1 = ⅙[−2] + b
−⅓
[tex]\displaystyle 1\frac{1}{3} = b \\ \\ y = \frac{1}{6}x + 1\frac{1}{3}[/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.
