Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which of the following is the equation of Leo's line?
a. y − G = −2(x − F)
b. y + F = 2(x + G)
c. y + F = one half(x + G)
d. y − G = one half(x − F)

Given:

Equation of a line.

To find:

The equation of Leo's line.

Solution:

Take any two points on the graph of the line.

Let the points are (1, 1) and (0, 3).

Slope of line:

m = -2

If two lines are perpendicular then their slopes are negative reciprocal of one another.

Slope of perpendicular line =

Perpendicular line passes through the point (F, G).

Point-slope formula:

Here,

The equation of Leo's line is .