okay, this is a really dumb question, but i cant figure it out ,so help would be appreciated! (:
1. What is the slope of the line passing through the points (2, 7) and (–1, 3)? (1 point)
a. 2/7
b. 3/4
c.4/3
d.1/3
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jimthompson5910 (jim_thompson5910):
Use the slope formula
m = (y2-y1)/(x2-x1)
m = ( 3- 7)/(-1-2)
I'll let you finish
jimthompson5910 (jim_thompson5910):
Tell me what you get
OpenStudy (anonymous):
i know how to do that part, but i get for my answers -4/-3... none of which are the options
jimthompson5910 (jim_thompson5910):
-4/-3 reduces to ????
jimthompson5910 (jim_thompson5910):
you're dividing two negatives which do what
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OpenStudy (anonymous):
okay so 2 negs = a postive.. i know that, hold on let me grab a calculator
jimthompson5910 (jim_thompson5910):
no need
jimthompson5910 (jim_thompson5910):
-4/-3 = 4/3 and you're done
OpenStudy (anonymous):
oh lol well thank you!!
jimthompson5910 (jim_thompson5910):
the two negatives cancel each other out and go away
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jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
can you help me with a couple others?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
What is the correct equation of the line shown below?
jimthompson5910 (jim_thompson5910):
first find the slope
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OpenStudy (anonymous):
a. y= 3/2x+ 3
b. y= -3/2x-3
c. y= 2/3x + 3
d. y= -2/3x -3
and okay
OpenStudy (anonymous):
okay i got 0/-4... which would be?
jimthompson5910 (jim_thompson5910):
that's not correct
OpenStudy (anonymous):
crap hold on i got this lol
jimthompson5910 (jim_thompson5910):
ok
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OpenStudy (anonymous):
0/4?
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
okay help lol
jimthompson5910 (jim_thompson5910):
m = (y2-y1)/(x2-x1)
m = (3-(-3))/(0-(-4))
m = (3+3)/(0+4)
m = ??
jimthompson5910 (jim_thompson5910):
you did 3-3 when it should be 3-(-3), which is the same as 3+3
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OpenStudy (anonymous):
6/4.. and okay i see what i did wring now, thank you
jimthompson5910 (jim_thompson5910):
reduce that to get ???
OpenStudy (anonymous):
1/5? i think
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
im so rusty on this ists been awhile :/ 1 1/2?
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jimthompson5910 (jim_thompson5910):
6 and 4 both have 2 in common
so divide both by 2 to get
6/2 = 3
4/2 = 2
so 6/4 reduces to 3/2
jimthompson5910 (jim_thompson5910):
you're close, but 1 1/2 is in a different (unwanted) form
OpenStudy (anonymous):
oh okay okay i get it now and yeah it is lol
jimthompson5910 (jim_thompson5910):
so the slope is 3/2
jimthompson5910 (jim_thompson5910):
the y-intercept is already given on the graph, and that's the point (0,3)
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OpenStudy (anonymous):
yep, and okay so its a? and question... what is that one equation for this is it y=mx+b? or something like that
jimthompson5910 (jim_thompson5910):
it is choice A
OpenStudy (anonymous):
m= slope y= y-intercept
jimthompson5910 (jim_thompson5910):
and yes, it's y = mx+b
m = slope
b = y-intercept
jimthompson5910 (jim_thompson5910):
known as slope-intercept form
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jimthompson5910 (jim_thompson5910):
you got it
OpenStudy (anonymous):
yes awesome thank you, i am gonna try these last two on my own if i need help i will post it, thank you so much! i just need a brain refresher
jimthompson5910 (jim_thompson5910):
you're very welcome, glad to be of help
OpenStudy (anonymous):
okay ill post this one.. im a little confused
jimthompson5910 (jim_thompson5910):
alright
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jimthompson5910 (jim_thompson5910):
go for it
OpenStudy (anonymous):
The x-intercept of a line is –5 and the y-intercept of the line is –2. What is the equation of the line?
jimthompson5910 (jim_thompson5910):
The x-intercept of a line is –5
means that we have the point (-5,0)
jimthompson5910 (jim_thompson5910):
the y-intercept of the line is –2
means we have the point (0,-2)
jimthompson5910 (jim_thompson5910):
so what we're really doing is finding the equation of the line that goes through (-5,0) and (0,-2)
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jimthompson5910 (jim_thompson5910):
the steps will be the same
1) find the slope using the two points and the slope formula to get m.
2) find the y-intercept, b, using y = mx+b
jimthompson5910 (jim_thompson5910):
luckily the y-intercept is already given, so step 2 isn't so bad
OpenStudy (anonymous):
okay so i got -2/5
OpenStudy (anonymous):
for the first step
jimthompson5910 (jim_thompson5910):
good, that's your slope
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jimthompson5910 (jim_thompson5910):
m = -2/5
jimthompson5910 (jim_thompson5910):
the y-intercept is already given, and it is (0,-2)
OpenStudy (anonymous):
-5 is y?
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
y=-2/5x+-2
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jimthompson5910 (jim_thompson5910):
or y = -2/5x - 2
jimthompson5910 (jim_thompson5910):
so you got it
OpenStudy (anonymous):
yayy! awesome! okay one more if you could help me through it?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
What is the slope-intercept form of the equation y – 7 = –5/2 (x + 4)? (1 point)
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jimthompson5910 (jim_thompson5910):
first distribute
jimthompson5910 (jim_thompson5910):
y – 7 = –5/2 (x + 4)
y – 7 = –5/2x - (5/2)(4)
y – 7 = –5/2x - 20/2
y – 7 = –5/2x - 10
Then solve for y
OpenStudy (anonymous):
which one first?
OpenStudy (anonymous):
oh
jimthompson5910 (jim_thompson5910):
you distribute the -5/2 through to each term in the parenthesis
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OpenStudy (anonymous):
okay, im kinda lost ... how do you solve for why?
jimthompson5910 (jim_thompson5910):
you solve for y because slope intercept form is y = mx+b
jimthompson5910 (jim_thompson5910):
and you can see that y is isolated in slope intercept form