The equation for a vertical line(s) L such that a region bounded by L, the x-axis and the line 2y − 3x = 6 is 3y + 2x = 6
The formula of the line in point-slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex]
m is the slope
(x0, y0) is any point on the line
Given the equation 2y - 3x = 6
2y = 3x + 6
y = 1.5x + 3
mx = 1.5x
m = 1.5
Hence the slope of the vertical line will be -2/3
IIf the point on the line is (3, 0), hence the required equation will be:
[tex]y - 0 = -2/3 (x - 3)\\3y = -2(x-3)\\3y = -2x + 6\\3y+2x = 6[/tex]
Hence the equation for a vertical line(s) L such that a region bounded by L, the x-axis and the line 2y − 3x = 6 is 3y + 2x = 6
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