Answer:
[tex]\displaystyle y = 2x + 9[/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{-5 + 15}{2 + 3} = \frac{10}{5} = 2[/tex]
Then, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because since you get it done much faster that way. It does not matter which ordered pair you choose:
15 = 2[3] + b
6
[tex]\displaystyle 9 = b \\ \\ y = 2x + 9[/tex]
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5 = 2[−2] + b
−4
[tex]\displaystyle 9 = b \\ \\ y = 2x + 9[/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.
