Line l passes through point (2, -5) and is perpendicular to the line with equation y = 7. determine the equation of line l. a) x = 2 b) x = 7 c) x = -5 d) y = -5

A) x = 2

Try the answers

Of the offered choices, the only ones that go through the given point are ...

... x = 2

... y = -5

The latter is horizontal and parallel to y = 7, so is not the choice you want. The appropriate choice is ...

... A) x = 2

Figure out the answer

The given line is horizontal, so the line you want is vertical—of the form ...

... x = constant

The constant must be chosen so the line will go through a point with x=2. It should be obvious that the constant must be 2.

... x = 2 is perpendicular to y = 7 and goes through (2, -5).

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

where:

r: it's the radio

h: it's the height

we have as data that:

substituting:

so, the cylinder volume is

option d