Answer:
[tex]y = \frac{4}{5}x - 2 → y = \frac{4}{5}x + -2 \\ \\ -2 = b[/tex]
Step-by-step explanation:
First, check the rate of change [slope]:
[tex]\frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]
[tex]\frac{-2 + 6}{-5 + 10} = \frac{4}{5}[/tex]☑
Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula, to get it done much swiftly. It does not matter which ordered pair you choose:
6 = ⅘[10] + b
8
[tex]−2 = b[/tex]
[tex]y = \frac{4}{5}x - 2[/tex]
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2 = ⅘[5] + b
4
−2 = b
[tex]y = \frac{4}{5}x - 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.
