SOLUTION: Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary. Line 1 x y –3 7 –2 5 Line 2 x y 0 5 2 1 Line 1: y = x +

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 –3 7 –2 5 Line 2 x y 0 5 2 1 Line 1: y = x +       Log On


   



Question 928887: Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

Line 1
x y
–3 7
–2 5
Line 2
x y
0 5
2 1

Line 1: y = x +
Line 2: y = x +

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Line 1
x y
–3 7
–2 5 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = 2/-1 = -2
***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29 P(-2,5)
y - 5 = -2(x + 2) 0r y = -2x + 1
Line 2
x y
0 5
2 1 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = 4/-2 = -2
***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29P(0,5)
y - 5 = -2(x-0) 0r y = -2x + 5
.......
the standard slope-intercept form for an equation of a line is
y+=+highlight_green%28m%29x+%2B+highlight%28b%29 where m is the slope and b the y-intercept.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Line 1
x..|y
-3|7
-2|5
the slope-intercept form:
y=mx%2Bb
the system in slope-intercept form:
7=-3m%2Bb.....1
5=-2m%2Bb.....2
_____________________subtract 2 from 1
7-5=-3m-%28-2m%29%2Bb-b
2=-3m%2B2m
2=-m
highlight%28m=-2%29
go to 1 or 2, substitute -2 for m and find b
5=-2m%2Bb.....2
5=-2%28-2%29%2Bb
5=4%2Bb
5-4=b
highlight%28b=1%29
your equation is:
y=-2x%2B1

Line 2
x| y
0| 5
2| 1
the system in slope-intercept form:
5=m%2A0%2Bb.....1
1=m%2A2%2Bb.....2
_____________________________
5=b.....1a.....so, highlight%28b=5%29
1=m%2A2%2Bb.....2
_____________________substitute 5 for b from 1a in 2
1=m%2A2%2B5.....2
1-5=2m
-4=2m
-4%2F2=m
highlight%28m=-2%29 ...line 1 and line 2 have same slope; until now we can say they are parallel

your equation is:
y=-2x%2B5

check them on a graph:



Line 1: y+=+-2x+%2B1
Line 2: y+=+-2x+%2B5+