Question

Choose the equation that represents a line that passes through points (-6, 4) and (2, 0).

A. x + 2y =2
B. 2x - y = -16
C. x + 2y = -8
D. 2x + y = 4​

Answer 1

A.
`x + 2y =2`

Explanation:

First, find the rate of change [slope]:

`(-y_1 + y_2)/(-x_1 + x_2) = m`

`-(4 + 0)/(6 + 2) = -(4)/(8) = -(1)/(2)`

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]

`x + 2y = 2`

__________________________________________________________

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]

`x + 2y = 2`

* 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.