Mathematics
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OpenStudy (henrietepurina):
The equation of a line is shown below.
y = - x - 7
What is the equation of a line which is parallel to this line and passes through (1, 79)?
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OpenStudy (henrietepurina):
y = -x + 80
y = x - 80
y = 7x - 80
y = -7x + 80
OpenStudy (kc_kennylau):
First of, two lines that are parallel to each other have the same slope
OpenStudy (kc_kennylau):
What's the slope of the line in the question?
OpenStudy (henrietepurina):
ho did you do slope again x - x^1 = m(y - y^2) ?
OpenStudy (kc_kennylau):
The equation in the question is in slope-intercept form, i.e. y=mx+b where m is the slope and b is the y-intercept
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OpenStudy (henrietepurina):
ooh oops
OpenStudy (kc_kennylau):
So what's the slope?
OpenStudy (henrietepurina):
wait whats y, y^1 and x, x^2
OpenStudy (kc_kennylau):
Your equation is not correct, it's y-y_1 = m(x-x_1)
OpenStudy (kc_kennylau):
Or written out: \(y-y_1=m(x-x_1)\)
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OpenStudy (henrietepurina):
sorry thats what i meant
but still what is y and y_1 and x and x_1
OpenStudy (kc_kennylau):
Where \((x_1,y_1)\) is a point on the line and \(m\) is the slope
OpenStudy (kc_kennylau):
All (x,y) that satisfy the equation will be on the line and all (x,y) on the line will satisfy the equation
OpenStudy (henrietepurina):
y - 79 = m(x - 1)
OpenStudy (henrietepurina):
y - 79 = mx - m
y - 79 = x
79 = x + y?
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OpenStudy (kc_kennylau):
mx-m is not x
OpenStudy (kc_kennylau):
Actually, NOT using point-slope form will be faster
OpenStudy (henrietepurina):
so what should we use?
OpenStudy (kc_kennylau):
slope-intercept form y=mx+b where m is the slope and b is the y-intercept
OpenStudy (henrietepurina):
y = m79 + 1
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OpenStudy (kc_kennylau):
Find the slope and the y-intercept in the equation "y=-x-7" first
OpenStudy (henrietepurina):
how if theres no m
OpenStudy (kc_kennylau):
m is a constant
OpenStudy (kc_kennylau):
In this case m is -1
OpenStudy (henrietepurina):
ooh
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OpenStudy (kc_kennylau):
Find the option where m is also -1
OpenStudy (kc_kennylau):
Shortcuts for MC hehe
OpenStudy (henrietepurina):
-1 * x - 7
OpenStudy (kc_kennylau):
If there's no m, m is still 1
OpenStudy (henrietepurina):
x = 6?
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OpenStudy (kc_kennylau):
Since they are parallel, you can find the option in which the equation also has m=-1
OpenStudy (henrietepurina):
-x - 7
OpenStudy (henrietepurina):
i really dont get this and gotta move along can you pls tell me the answer
OpenStudy (kc_kennylau):
Looks like you're not getting it, I apologize for confusing you
OpenStudy (kc_kennylau):
For example, in the equation y=2x+5
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OpenStudy (kc_kennylau):
The slope is 2 and the y-intercept is 5
OpenStudy (kc_kennylau):
Get this?
OpenStudy (henrietepurina):
ahh so the slope was -1?
OpenStudy (kc_kennylau):
Yep
OpenStudy (kc_kennylau):
So find the option where the slope is also -1 :)
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OpenStudy (henrietepurina):
A?
OpenStudy (kc_kennylau):
Exactly :)
OpenStudy (henrietepurina):
omg thanks a lawt
OpenStudy (kc_kennylau):
no prawblem
OpenStudy (henrietepurina):
hehe