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champqc702
26.09.2019 •
Mathematics
Aline passes through (-1, 7) and (2, 10).
which answer is the equation of the line?
a. -x+y=12
b. -3x+y=4
c. -3x + y = 16
d. -x+y=8
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Ответ:
d. -x + y = 8
Step-by-step explanation:
First find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
Then, we can go ahead and use the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done swifter. It does not matter which ordered pair you choose:
10 = 1[2] + b
2
8 = b
y = x + 8 >> Line in Slope-Intercept Form
Since the exercise wants the equation in Standard Form:
y = x + 8
-x -x
________
-x + y = 8 >> Line in Standard Form
__________________________________________________________
7 = 1[-1] + b
-1
8 = b
y = x + 8 >> Line in Slope-Intercept Form
y = x + 8
-x -x
________
-x + y = 8 >> Line in Standard Form
** You see? I told you it did not matter which ordered pair you chose because you will always get the exact same result, plus the fact that I told you it was alot swifter than the Point-Slope Formula.
* Tip: Use the Point-Slope Formula when it tells you to, otherwise keep using the Slope-Intercept Formula. That way, you get your work done in a jip!
I am joyous to assist you anytime.
Ответ:
Is the answer