Answer:
A. [tex]x + 2y =2[/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{4 + 0}{6 + 2} = -\frac{4}{8} = -\frac{1}{2}[/tex]
Then use the Slope-Intercept Formula instead of the Point-Slope Formula, since you get it done faster this way. It does not matter which ordered pair you choose:
0 = −½[2] + b
−1
1 = b
y = −½x + 1
Then, convert to Standard Form:
y = −½x + 1
+ ½x + ½x
__________
½x + y = 1 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
2[½x + y = 1]
[tex]x + 2y = 2[/tex]
__________________________________________________________
4 = −½[−6] + b
3
1 = b
y = −½x + 1
Then, convert to Standard Form:
y = −½x + 1
+ ½x + ½x
__________
½x + y = 1 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
2[½x + y = 1]
[tex]x + 2y = 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.
