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# (3,2)and(9,5) what is the equation of the given point?

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(3,2)and(9,5) what is the equation of the given point?

Guest Jun 22, 2017

#1
+4172
+3

Do you want the equation of a line that passes through the given points? If so.....

slope  =  (change in y's) / (change in x's)

slope  =  (2 - 5) / (3 - 9)

slope  =  (-3) / (-6)

slope  =  1/2

Now we know a point,  (3,2)  , and the slope,  1/2  , so we can write the equation of this line in point-slope form.

y - 2  =  (1/2)(x - 3)            And we can get this in slope-intercept form. Distribute the  1/2  .

y - 2  =  (1/2)x - 3/2           Add  2  to both sides.

y  =  (1/2)x + 1/2

hectictar  Jun 22, 2017
Sort:

#1
+4172
+3

Do you want the equation of a line that passes through the given points? If so.....

slope  =  (change in y's) / (change in x's)

slope  =  (2 - 5) / (3 - 9)

slope  =  (-3) / (-6)

slope  =  1/2

Now we know a point,  (3,2)  , and the slope,  1/2  , so we can write the equation of this line in point-slope form.

y - 2  =  (1/2)(x - 3)            And we can get this in slope-intercept form. Distribute the  1/2  .

y - 2  =  (1/2)x - 3/2           Add  2  to both sides.

y  =  (1/2)x + 1/2

hectictar  Jun 22, 2017

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