Graphing inequalities?

Question

a.) 2x-y<6

b.) y<1/2x-1

c.) 5+2y>10

d.) x<-2

e. y>2x+3

please help as much as possible !

and if you can solve these too, it'd be great:

write the y-form equation

c.) parallel to graph of y=10x-6: y-intercept of 1

d.) perpendicular to graph of 2y=x+16

e.) y-intercept of 2, perpendicular to line containing (=4,6) and (1,11)

Answer 1

for the first ones pretend the inequalties are equal signs then graph those lines. Then test a point both inside and outside the line [(0,0) or (1,1) are good if you can use them] then work out on which side the inequality holds.

parrallel lines M1=M2 i.e. they  have the same gradients.

Perpendicular lines M1=-1/M2. i.e they are reciprocals

Subsitute into (Y1-Y2)=m(X1-X2) + c