Answer:
[tex]\displaystyle y = -2\frac{1}{2}x + 20\frac{1}{2}[/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{-8 + 3}{-5 + 7} = -\frac{5}{2} = -2\frac{1}{2}[/tex]
Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done swiftly that way. It does not matter which ordered pair you choose:
3 = −2½[7] + b
−17½
[tex]\displaystyle 20\frac{1}{2} = b \\ \\ y = -2\frac{1}{2}x + 20\frac{1}{2}[/tex]
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8 = −2½[5] + b
−12½
[tex]\displaystyle 20\frac{1}{2} = b \\ \\ y = -2\frac{1}{2}x + 20\frac{1}{2}[/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.
