Answer:
1) y=x+2
2)y=3x+3
4)y=-x+2
Step-by-step explanation:
1) so a parallel equation will have the same slope
since the slope in equation #1 is "1" the slope of the parallel line will also be 1
so
y=1x+b
and we are given the point(0,2) we can substitute (0,2) into the slope-intercept equation
2=1(0) +b
2=b
hence, the equation of the new line is
y=x+2
2) do the same thing with the other equations:
y=3x+1
point: (0,3)
so since they are parallel lines, they have the same slope:
y=3x+b
3=3(0)+b
3=b
new line equation:
y=3x+3
y=3-x
slope=-1
hence,
y=-x+b
point: (0,2)
2=o+b
2=b
new line equation:
y=-x+2
