SOLUTION: Please help me :) Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary. Line 1 x y –2 4 2 6 Line 2 x y –2 –2

Algebra ->  Statistics  -> Linear-regression -> SOLUTION: Please help me :) Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary. Line 1 x y –2 4 2 6 Line 2 x y –2 –2       Log On


   

Question 1113172: Please help me :)

Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

Line 1
x y
–2 4
2 6

Line 2
x y
–2 –2
0 4

Line 1: y = x +
Line 2: y = x +
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
equation in slope-intercept form: y=mx%2Bb where m is a slope and b is y-intercept
Line 1
x|y
-2|4
2|6

y=mx%2Bb ...use given x and y to find m and b
if x=-2 and y=4, we have
4=-2m%2Bb ...solve for b
b=4%2B2m....eq.1

if x=2 and y=6, we have
6=2m%2Bb ...solve for b
b=6-2m....eq.2
since eq.1 and eq.2 have same left sides, right sides must be equal too; so, we have
4%2B2m=6-2m...solve for m
2m%2B2m=6-4
4m=2
m=2%2F4
m=1%2F2
highlight%28m=0.5%29
go back to eq.1, plug in m
b=4%2B2m....eq.1
b=4%2B2%2A0.5
b=4%2B1
highlight%28b=5%29
so, Line 1: y+=++0.5x+%2B5

Line 2

x|y
-2|-2
0|0 -> this shows you that line 2 passes through origin; so, y-intercept highlight%28b=0%29
use that and other given x and y values to find m
-2=-2m%2B0 ...solve for m
-2%2F-2=m
highlight%28m=1%29
so, Line 2: y+=+x+