Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through the point (2,0)? -2x+ y=-4
-2x+y=2
X+2y=2
X+2y=4

Step-by-step explanation:

Given

Points:

Required

Determine the equation of line that is perpendicular to the given points and that pass through

First, we need to determine the slope, m of FG

Where

---

---

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

The equation of the line is then calculated as:

Where

Multiply through by 2

Add x to both sides

Hence, the line of the equation is

one of each metals

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: