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agasfer [191]
3 years ago
6

Find the equation of the line that passes through (-2, -5) and (1, 7).

Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

\displaystyle 4x - y = -3, -4x + y = 3\:OR\:y = 4x - 3

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{5 + 7}{2 + 1} = \frac{12}{3} = 4

Now plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em>, since it is much swifter that way. It does not matter which ordered pair you choose:

7 = 4 + b

\displaystyle 3 = b \\ \\ y = 4x + 3

If you want it in <em>Standard Form</em>:

y = 4x + 3

- 4x - 4x

_________

\displaystyle -4x + y = 3\:OR\:4x - y = -3

_______________________________________________

−5 = 4[−2] + b

−8

\displaystyle 3 = b \\ \\ y = 4x + 3

If you want it in <em>Standard Form</em>:

y = 4x + 3

- 4x - 4x

_________

\displaystyle -4x + y = 3\:OR\:4x - y = -3

** You see? I told you that it did not matter which ordered pair you choose [as long your <em>rate of change</em> is correct] because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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