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

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 0 3 1 5 Line 2 x y –1 1 –2 –1       Log On


   

Question 922021: Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.


Line 1
x y
0 3
1 5

Line 2
x y
–1 1
–2 –1


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

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
slope-intercept form is y=mx%2Bb where m is a slope and b y-intercept
given:
Line 1
x| y
0| 3
1| 5
use given points to find m and b:
3=m%2A0%2Bb..=> highlight%28b=3%29
5=m%2A1%2B3...=>5-3=m=>highlight%28m=2%29
so, your line is highlight%28y=2x%2B3%29


Line 2
x| y
-1| 1
-2| -1

1=m%2A%28-1%29%2Bb..=>1=-m%2Bb...eq.1
-1=m%2A%28-2%29%2Bb...=>-1=-2m%2Bb...eq.2
solve the system:
1=-m%2Bb...eq.1
-1=-2m%2Bb...eq.2
__________________________subtract eq.2 from eq.1
1-%28-1%29=-m%2Bb-%28-2m%2Bb%29
1%2B1=-m%2Bcross%28b%29%2B2m-cross%28b%29
2=-m%2B2m
highlight%282=m%29
go to -1=-2m%2Bb plug in m=2 and find b
-1=-2%2A2%2Bb
-1=-4%2Bb
-1%2B4=b
highlight%283=b%29
so, your line is highlight%28y=2x%2B3%29, same as line 1




all four given points lie one one line: