Answer:
C
Step-by-step explanation:
The line shown on the grid passes through the points (-1, 0) and (0, 2).
Remember that the slopes of perpendicular lines are negative reciprocals of each other. So, find the slope of the line on the grid first. We can use the slope formula:
So, the slope of the line on the grid is two.
To find the negative reciprocal of two, we flip it and add a negative. We can rewrite 2 as 2/1. Therefore, the slope of the perpendicular line is -1/2.
We are also given that the line passes through the point (F, G). Since we know the slope and a point, we can use the point-slope form:
Where <em>m</em> is the slope and (<em>x₁, y₁</em>) is a point.
Let (F, G) be (<em>x₁, y₁</em>). Substitute:
Therefore, our answer is C.