Answer:
[tex]2x - 7y = -19\:or\:y = \frac{2}{7}x + 2\frac{5}{7}[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]
[tex]\frac{-3 + 5}{-1 + 8} = \frac{2}{7}[/tex]
Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:
5 = 2⁄7[8] + b
2 2⁄7
[tex]2\frac{5}{7} = b \\ \\ y = \frac{2}{7}x + 2\frac{5}{7}[/tex]
If you want it in Standard Form:
y = 2⁄7x + 2 5⁄7
- 2⁄7x - 2⁄7x
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−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
−7[−2⁄7x + y = 2 5⁄7]
[tex]2x - 7y = -19[/tex]
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3 = 2⁄7 + b
[tex]2\frac{5}{7} = b \\ \\ y = \frac{2}{7}x + 2\frac{5}{7}[/tex]
y = 2⁄7x + 2 5⁄7
- 2⁄7x - 2⁄7x
_______________
−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
−7[−2⁄7x + y = 2 5⁄7]
[tex]2x - 7y = -19[/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.
