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

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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