Write one equation of the line through the given points in slope-intercept form.

Anonymous
timer Asked: Jul 22nd, 2014
account_balance_wallet $5

Question Description

the points are (2,1)&(-2,-1)

                       (3,7)&(-2,5)

        (5,6)&(3,10)

         Separate answers preferred(because i get confused a lot) Thanks in Advance

Tutor Answer

Bilal_Mursaleen
School: Cornell University

1)_ (2,1)&(-2,-1)

As m = Y2-Y1 / X2-X1, then

m = -1-1 / -2-2

m = -2 / -4

m = 1/2

Now we we either one points to find c from

Y = mX + c

putting the values of any points, we get

1 = (1/2)2 + c

1 = 1 + c

now we get        c = 0

So now we put the values of c and m in the equation Y = mX + c to get equation in slope intercept form, then

Y = 1/2X + 0

Hence       Y = 1/2X         Or

                   2Y = X

2)_ (3,7)&(-2,5)

As m = Y2-Y1 / X2-X1, then

m = 5-7 / -2-3

m = -2/-5

m = 2/5

Now we we either one points to find c from

Y = mX + c

putting the values of any points, we get

7 = (2/5)3 + c

29/5 = c

now we get        c = 29/5

So now we put the values of c and m in the equation Y = mX + c to get equation in slope intercept form, then

Hence    Y = 2/5X + 29/5               Or

              5Y = 2x =29

3)_ (5,6)&(3,10)As m = Y2-Y1 / X2-X1, then

m = 10-6 / 3-5

m = 4 / -2

m = -2

Now we we either one points to find c from

Y = mX + c

putting the values of any points, we get

6 = (-2)5 + c

6 = -10 + c

6 + 10 = c

c = 16

now we get        c = 16

So now we put the values of c and m in the equation Y = mX + c to get equation in slope intercept form, then

Hence           Y = -2X + 16                 Or

                      Y = 16 - 2x

flag Report DMCA
Review

Anonymous
Thanks, good work

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors