Does anyone know how to do this? 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?

line on coordinate plane passing through 0 comma 3 and 1 comma 1

y − G = −2(x − F)
y + F = 2(x + G)
y + F = one half(x + G)
y − G = one half(x − F)

y - G = -1/3 (x-F)

Taking the two points of the line shown on the grid

(0, -2)

(1, 1)

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

Slope = y2-y1

(x1, y1) = 0, -2), (x2, y2) = (1,1)

m =1-(-2)/1-0

m = 3

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

y- y1 = m (x - x1)

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)

y - y1 = m (x - x1)

y - G = -1/3 ( x - F)

Therefore, the line of the equation of Leo is:

y - G = -1/3 (x - F)

step-by-step explanation:

goog be able to you with that maybe