Answer:
[tex]\displaystyle y = -\frac{6}{7}x + 5\frac{5}{7}[/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{-10 + 4}{5 + 2} = -\frac{6}{7}[/tex]
Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:
4 = −6⁄7[2] + b
−1 5⁄7
[tex]\displaystyle 5\frac{5}{7} = b \\ \\ y = -\frac{6}{7}x + 5\frac{5}{7}[/tex]
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10 = −6⁄7[−5] + b
4 2⁄7
[tex]\displaystyle 5\frac{5}{7} = b \\ \\ y = -\frac{6}{7}x + 5\frac{5}{7}[/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.
