Question

Write an equation of the line that passes through (-2,5) and (4, -7).

Answer 1

`2x + y = 1\:or\:y = -2x + 1`

Step-by-step Step-by-step explanation:

First find the rate of change [slope]:

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

`(-5 - 7)/(2 + 4) = -(12)/(6) = -2`

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:

−7 = −2[4] + b

−8

`1 = b \\ \\ y = -2x + 1`

If you want it in Standard Form:

y = −2x + 1

+2x + 2x

_________

`2x + y = 1`

_______________________________________________

5 = [−2]² + b

4

`1 = b \\ \\ y = -2x + 1`

y = −2x + 1

+2x + 2x

_________

`2x + y = 1`

** 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.