Question

Write an equation of the line that passes through(2,7) and (0,-5)

Answer 1

Answer:

$-6x + y = -5\:or\:y = 6x - 5$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-7 - 5}{-2 ± 0} = \frac{-12}{-2} = 6$

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. In this case, we have a y-intercept of $[0, -5]$, so this is a giveaway. It does not matter which ordered pair you choose:

$-5 = b \\ \\ y = 6x - 5$

If you want it in Standard Form:

y = 6x - 5

- 6x - 6x

_________

$-6x + y = -5$

_______________________________________________

7 = 6[2] + b

12

$-5 = b \\ \\ y = 6x - 5$

y = 6x - 5

- 6x - 6x

_________

$-6x + y = -5$

** 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.