Graphical Representation of Straight line problems


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Question 11

Question:   Draw the graph of 3x+2y=6.

Answer:   

Question 12

Question:   Draw the graph of 3x-2y=9.

Answer:   

Question 13

Question:   Draw the graph of 3x+y=12.

Answer:   

Question 14

Question:   Draw the graph of 2x-3y=12. Use the graph to find the slope of line and area between the axes.

Answer:    2x-3y=12
2x=12+3y

y=0, x=6
y=-2, x=3
y=-4, x=0





Question 15

Question:   Draw the graph of 2x+y=5. Use the graph to find the slope of line and area between the axes.

Answer:    2x+y=5
y=5-2x
x=0, y=5
x=2, y=1
x=3, y=-1





Question 16

Question:   Draw the graph of 4x+3y-6=0.

Answer:    4x+3y-6=0
3y=6-4x


x=0, y=2
x=3, y=-2
x=-3, y=6


Question 17

Question:   Solve graphically
2x-2=y; x+3y=15

Answer:    2x-2=y
y=2x-2
At x=0, y=2(0)-2=-2
At x=1, y=2(1)-2=0

At x=2, y=2(2)-2=2



x+3y=15
x=15-3y
At y=5, x=15-3(5)=0
At y=4, x=15-(3)4=3
At y=6, x=15-3(6)=-3
x=15-3y

At y=5, x=15-3(5)=0
At y=4, x=15-(3)4=3
At y=6, x=15-3(6)=-3


Question 18

Question:   Solve graphically

Answer:    x=4
x=4; is a line parallel to y axis.

3x+2y=10
3x=10-2y






Solution: x=4, y=-1

Question 19

Question:   Solve graphically
3y=5-x; 2x=y+3

Answer:    3y=5-x
2x=y+3
3y=5-x





2x=y+3






Question 20

Question:   Solve graphically
3x+y+1=0; 2x-3y+8=0

Answer:    3x+y+1=0
3x+y=-1
3x=-1-y






2x-3y+8=0
2x+8=3y
2x=3y-8






Solution: x=-1 and y=2



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