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?

The line of the equation of Leo is:

Hence, option B is correct.

Step-by-step explanation:

Taking the two points of the line shown on the grid

Finding the slope between (0, -2) and (1, 1)

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

The slope of the new line perpendicular to the given line = – 1/m = -1/3 = -1/3

Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = -1/3 and the point (F, G)

Therefore, the line of the equation of Leo is:

Hence, option B is correct.