Plot the line 2y = 5x + 7
We need two points to plot the line, we can get those two points by putting x = 0 and then putting y = 0
Put x = 0
⇒ 2y = 5(0) + 7
y = 7/2
Put y = 0
⇒ 2(0) = 5x + 7
⇒ 5x = -7
x = -7/5
Hence (0, 7/2) and (-7/5, 0) are the required two points to draw the line 2y = 5x + 7
x = 2 and x = 8 are lines parallel to Y-axis passing through (2, 0) and (8, 0) respectively
Plot lines 2y = 5x + 7, x = 2 and x = 8
We have to find area under 2y = 5x + 7 that is y = 1/2(5x + 7) from 2 to 8
⇒ y = 1/2(5x + 7)
Integrate from 2 to 8
Hence the area bounded by given lines is 96 unit2
