Find the equation of straight line passing through the points (a,0) and (0,b). If the point (1,1) lies on the equation, prove that 1/a + 1/b =1

step by step

Step-by-step explanation:

Line passing (a,0) (0,b)

slope = (y2 - y1) / (x2 - x1) = - b/a

pass (0,b), y interception: b

Line: y = -b/a * x + b  

pass(1,1) y=1, x=1

1 = -b/a + b  

1/b = (-b/a) /b + b/b

1/b = -1/a + 1

1/a + 1/b = 1  

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a