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Algebra 22 Online
OpenStudy (anonymous):

What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? 1) y=1/3x-23/3 2) y=1/3x-3 3) y-1/3x+7 4) y=3x+7

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

which equation listed has a slope of 3?

OpenStudy (anonymous):

1) y=1/3x-23/3 2) y=1/3x-3 3) y-1/3x+7 4) y=3x+7

jimthompson5910 (jim_thompson5910):

which of those choices you just listed out has a slope of 3?

OpenStudy (anonymous):

number 3 I think

jimthompson5910 (jim_thompson5910):

hint: y = mx+b has a slope of m

jimthompson5910 (jim_thompson5910):

for example, y = 7x+10 has a slope of 7

OpenStudy (anonymous):

so its 4

jimthompson5910 (jim_thompson5910):

choice 4 has a slope of what?

OpenStudy (anonymous):

hoo i go it thank is 2

jimthompson5910 (jim_thompson5910):

what do you mean?

OpenStudy (anonymous):

is answer number 2

jimthompson5910 (jim_thompson5910):

if you were to plug x = -6 into x for choice 2, what do you get for y?

OpenStudy (anonymous):

i just dont get it

jimthompson5910 (jim_thompson5910):

let's say we plug x = 5 into y = 7x+10 y = 7x+10 y = 7(5)+10 ... replace x with 5 y = 35 + 10 ... multiply y = 45

jimthompson5910 (jim_thompson5910):

So when x = 5, then y = 45 (for the equation y = 7x+10)

jimthompson5910 (jim_thompson5910):

if x = 2, then what is y when y = 7x+10 ?

jimthompson5910 (jim_thompson5910):

any ideas?

OpenStudy (anonymous):

noup

jimthompson5910 (jim_thompson5910):

replace x with 2 to get y = 7(2) + 10

jimthompson5910 (jim_thompson5910):

then evaluate 7(2) + 10 and tell me what you get

OpenStudy (anonymous):

24

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so if y = (1/3)x - 3 and x = -6, then what is y?

OpenStudy (anonymous):

??????

jimthompson5910 (jim_thompson5910):

replace x with -6 and evaluate

jimthompson5910 (jim_thompson5910):

y = (1/3)x - 3 y = (1/3)(-6) - 3 y = ?

OpenStudy (anonymous):

-5

jimthompson5910 (jim_thompson5910):

the point (-6,5) means x = -6 and y = 5 we want y = 5 and NOT y = -5

jimthompson5910 (jim_thompson5910):

so the point (-6,5) does NOT lie on y = (1/3)x - 3

OpenStudy (anonymous):

formula (y+5)=1/3(x+6)

OpenStudy (anonymous):

(y-5) excuse me

OpenStudy (anonymous):

y = 1/3x +7 @briansito

OpenStudy (anonymous):

use point slope form @briansito

OpenStudy (anonymous):

plug in the numbers and turn the equation into standard form y= mx + b

OpenStudy (anonymous):

@briansito

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