The lines L1 & L2 and the equations y = mx + n & y = px + q are illustrations of linear equations
The equation of line L1
This is a vertical line that passes through the x = 2
So, the equation of line L1 is x = 2
The equation of line L2
This is a horizontal line that passes through the y = 2
So, the equation of line L2 is y = 2
The values of m and n in y = mx + n
The line y = mx + n passes through points (6,3) and (0,0)
This means that n = 0 i.e. the y-intercept.
The value of m is calculated as follows:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{0- 3}{0 - 6}[/tex]
[tex]m = 0.5[/tex]
So, the values of m and n in y = mx + n are 0.5 and 0, respectively.
The values of p and q in y = px + q
The line y = px + q passes through points (6,3) and (0,12)
This means that q = 12 i.e. the y-intercept.
The value of p is calculated as follows:
[tex]p = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]p = \frac{12- 3}{0 - 6}[/tex]
[tex]p = -1.5[/tex]
So, the values of p and q in y = px + q are -1.5 and 12, respectively.
The letters in the region x >=2. y>=mx +n and y>=px+q
The above region represent the upper region between y=mx +n, y=px+q and line L1
The letter in this region is letter H
The letters in the region y <=2. y<=mx +n and y<=px+q
The above region represent the lower region between y=mx +n, y=px+q and line L2
The letters in this region are letters A and E
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