]Choose the equation of the horizontal line that passes through the point (-8, -7)
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OpenStudy (anonymous):
for any horizontal line, always y=constant, so y=-7
jimthompson5910 (jim_thompson5910):
draw a horizontal line through (-8, -7)
you'll notice that any point on this line will have a y coordinate of -7
so that's another way to see that the answer is y = -7
OpenStudy (anonymous):
Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
start with y = mx + b
then plug in the slope to get y = (1/2)x + b
after that, plug in the given point to get -4 = (1/2)*(2) + b
now solve for b
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OpenStudy (anonymous):
i dont know how @jim_thompson5910
jimthompson5910 (jim_thompson5910):
-4 = (1/2)*(2) + b
-4 = (1/2)*(2/1) + b
-4 = (1*2)/(2*1) + b
-4 = 2/2 + b
-4 = 1 + b
...
...
...
b = ???
OpenStudy (anonymous):
-3
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
no
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jimthompson5910 (jim_thompson5910):
keep in mind you're subtracting 1 from both sides
jimthompson5910 (jim_thompson5910):
and -4-1 is NOT -3
OpenStudy (anonymous):
im lost @jim_thompson5910
jimthompson5910 (jim_thompson5910):
think about it like this
-4 means you're 4 dollars in debt
then you spend one more dollar
how many dollars in debt are you now?
OpenStudy (anonymous):
-5
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jimthompson5910 (jim_thompson5910):
so -4-1 = -5
jimthompson5910 (jim_thompson5910):
which means b = -5
jimthompson5910 (jim_thompson5910):
m = 1/2
b = -5
OpenStudy (anonymous):
Write the equation of the line in slope-intercept form with a slope of 3 and a y-intercept of -2 ?
jimthompson5910 (jim_thompson5910):
\[\large y = mx+b\]
\[\large y = \frac{1}{2}x - 5\]
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jimthompson5910 (jim_thompson5910):
same thing, now m = 3 and b = -2
OpenStudy (anonymous):
last one
jimthompson5910 (jim_thompson5910):
m = slope
b = y-intercept
OpenStudy (anonymous):
now what ?
jimthompson5910 (jim_thompson5910):
slope of 3 and a y-intercept of -2 ---> m = 3 and b = -2
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jimthompson5910 (jim_thompson5910):
I'm sure you see what to do from here
OpenStudy (anonymous):
-2=3x+-2
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
you leave y as it is
jimthompson5910 (jim_thompson5910):
so it's just y = 3x - 2
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OpenStudy (anonymous):
]Identify the correct x intercept and y intercept of the equation x + 7y = -21 @jim_thompson5910
jimthompson5910 (jim_thompson5910):
hmm you said it was the last one
jimthompson5910 (jim_thompson5910):
anyways, plug in x = 0 and solve for y to get the y-intercept
plug in y = 0 and solve for x to get the x-intercept
OpenStudy (anonymous):
how ? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
when you plug in x = 0, you're basically replacing x with 0
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jimthompson5910 (jim_thompson5910):
then you solve for y
OpenStudy (anonymous):
idk how
jimthompson5910 (jim_thompson5910):
you've never solved equations?
OpenStudy (anonymous):
no
jimthompson5910 (jim_thompson5910):
ok one sec
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