91影视

Any x-y coordinate plane can be used to graph equations involving one or two variables. The following guidelines are valid in general: The coordinates of a point on the graph of an equation make the equation true, if a point's coordinates result in a true statement for an equation, the point is on the equation's graph.

Equation of straight line:

y= 尾₀+ 尾₁x .............(1)

If line passing through, (1, 1).

1= 尾₀+ 尾₁(1)

If line passing through, (5, 5).

5= 尾₀+ 尾₁(5)

Solve equation (2) & (3) simultaneously,

尾₀+ 尾₁ -1 = 尾₀+ 尾₁(5)-5

尾₁ -1 = 5尾₁-5

4尾₁= 4

尾₁=1

Therefore, put 尾₁=1 in equation (2)

1= 尾₀+ 1(1)

1= 尾₀+ 1

尾₀ =0

Now, put 尾₁=1 and 尾₀ =0 in equation (3)

y= 尾₀+ 尾₁x

y= 0+ 1x

y=x

Therefore, the required equation is y=x.

Equation of straight line:

y= 尾₀+ 尾₁x .............(1)

If line passing through, (0, 3).

3= 尾₀+ 尾₁(0)

尾₀ = 3

If line passing through, (3, 0).

0= 尾₀+ 尾₁(3)

Therefore, put 尾₀= 3 in equation (2)

0= 3+ 3尾₁

3尾₁ = -3

尾₁ = -1

Now, put 尾₁= -1 and 尾₀ = 3 in equation (3)

y= 尾₀+ 尾₁x

y= 3+ (-1)x

y= 3-x

Therefore, the required equation is y = 3-x.

Equation of straight line:

y= 尾₀+ 尾₁x .............(1)

If line passing through, (-1, 1).

1= 尾₀+ 尾₁(-1) .............(2)

If line passing through, (4, 2).

2= 尾₀+ 尾₁(4) ................(3)

Solve equation (2) & (3) simultaneously,

尾₀+ 尾₁(-1) -1 = 尾₀+ 尾₁(4)-2

-尾₁ -1 = 4尾₁-2

4尾₁+尾₁ = 2-1

5尾₁=1

尾₁ =1/5

Therefore, put 尾₁= 1/5 in equation (2)

1= 尾₀+ (1/5)(-1)

1= 尾₀(-1/5)

尾₀ = 1+(1/5)

尾₀=(5+1)/5

尾₀=6/5

Now, put 尾₁=(1/5) and 尾₀ =6/5 in equation (3)

y= 尾₀+ 尾₁x

y= (6/5)+ (1/5)x

y= (6/5)+(x/5)

Therefore, the required equation is y= (6/5)+(x/5).