Answer:
[tex]2x - 5y = 7\:\:or\:\:y = \frac{2}{5}x - 1\frac{2}{5}[/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 + 1}{4 + 6} = \frac{4}{10} = \frac{2}{5}[/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:
1 = ⅖[6] + b
2⅖
−1⅖ = b
y = ⅖x - 1⅖ >> Line in Slope-Intercept Form
If you need it written in Standard Form:
y = ⅖x - 1⅖
-⅖x -⅖x
_________
−⅖x + y = −1⅖ [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−5[−⅖x + y = −1⅖]
2x - 5y = 7 >> Line in Standard Form
_______________________________________________
−3 = ⅖[−4] + b
−1⅗
−1⅖ = b
y = ⅖x - 1⅖ >> Line in Slope-Intercept Form
If you need it written in Standard Form:
y = ⅖x - 1⅖
-⅖x -⅖x
_________
−⅖x + y = −1⅖ [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−5[−⅖x + y = −1⅖]
2x - 5y = 7 >> Line in Standard Form
** 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.
