Question

A line is drawn through (-4.3) and (4.3). Which describes whether or not the line represents a direct variation?

O The line represents a direct variation because -4/3 = 4/3
O The line represents a direct variation because tis horizontal
O The ine does not represent a direct variation because it does not go through the origin
O The line does not represent a direct variation because -4(3) ≠ 4(3)

Answer 1

The line represents a horizontal line at some value of y.

Step-by-step explanation:

A line is said to represent a direct variation if it has a constant slope. To determine whether the line represents a direct variation, we need to calculate the slope of the line passing through the points (-4,3) and (4,3).

The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Using this formula, let's calculate the slope of the given line:

slope = (3 - 3) / (4 - (-4))

slope = 0 / 8

slope = 0

Since the slope is zero, the line represents a horizontal line at some value of y. Therefore, the correct answer is: d. It is a horizontal line at some value of y.