How do you solve the system of equations #y=-5/3x+1# and #y=-1/3x-3# by graphing?
1 Answer
Jul 9, 2017
The two lines intersect at point
Explanation:
Given -
#y=-5/3+1# --------------------- (1)
#y=-1/3-3# ----------------------(2)
To fix a line we need two pieces of information
1) x-intercept and 2) y-intercept
1st equation
At
#y=-5/3(0)+1 =1#
So#(0, 1)# is one point
At
#-5/3x+1=0#
#-5/3x=-1#
#x=-1xx-3/5=3/5#
#(3/5,0)# is another point
Plot
2nd equation
At
#y=-1/3(0)-3=-3#
#(0,-3)# is one point
At
#-1/3x-3=0#
#-1/3=3#
#x=3 xx (-3/1)=-9#
#(-9,0)# is another point
Plot these two points#(0,-3) and (-9,0)#
The two lines intersect at point
