9514 1404 393
Answer:
y = -2
Step-by-step explanation:
The given line is a vertical line, so a perpendicular line will be a horizontal line. It will have an equation of the form ...
y = constant
In order for the line to go through the given point, the constant in the equation must be the same as the y-coordinate of the point: -2.
Your perpendicular line is ...
y = -2
Answer:
<u>Third Option</u>:
Step-by-step explanation:
Given the points on the graph, (4, 5) and (-4, -5):
In order to determine the equation of the given graph in slope-intercept form, y = mx + b:
Use the given points to solve for the slope:
Let (x₁, y₁) = (-4, -5)
(x₂, y₂) = (4, 5)
m = (y₂ - y₁)/(x₂ - x₁)
Therefore, the slope of the line is: .
Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:
y = mx + b
5 = + b
5 = 5 + b
5 - 5 = 5 - 5 + b
0 = b
Therefore, the linear equation in slope-intercept form is: . The correct answer is Option 3.