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

Question Description

I’m working on a Algebra exercise and need support.

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

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Final Answer

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

Duke University

Anonymous
Top quality work from this tutor! I’ll be back!

Anonymous
It’s my second time using SP and the work has been great back to back :) The one and only resource on the Interwebs for the work that needs to be done!

Anonymous
Thanks, good work

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

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