SOLUTION: 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

Algebra ->  Linear-equations -> SOLUTION: 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       Log On


   

Question 918889: 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 + _____


Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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
----
slope = (6-4)/(2--2) = 2/4 = 1/2
----
Form:: y = mx + b
Solve for "b"::
6 = (1/2)2 + b
6 = 1 + b
b = 5
Equation:: y = (1/2)x + 5
----------------------------
Line 2
x y
–2 –2
0 4
----
slope = (4--2)/(0-2) = 6/-2 = -3
Form:: y = mx + b
Solve for "b"::
4 = -3*0 + b
b = 4
---
Equation:
y = -3x
==================
Cheers,
Stan H.
------------------

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Line 1
x y
–2 4
2 6 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = -2/-4 = (1/2)
***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29
y - 6 = (1/2)x-2)
y = .5x + 5
............
Line 2
x y
–2 –2
0 4 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29= -6/-2 = 3
***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29
y+2 = 3(x+2)
y = 3x + 4