Answer:
[tex]\displaystyle y = \frac{1}{3}x[/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{3 - 4}{9 - 12} = \frac{1}{3}[/tex]
Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done much swiftly that way. It does not matter which ordered pair you choose:
−4 = ⅓[−12] + b
−4
[tex]\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x[/tex]
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−3 = ⅓[−9] + b
−3
[tex]\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x[/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.
