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).

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!