Question

4. What is the slope of a line that is perpendicular to the line shown?

-4
2
(-3,-1)
4
2
-2-
-4
y
2
(3, 3)
4
X

Answer 1

The slope of the perpendicular line going through the points (-3, -1), and (3, 3) is; -3/2

The steps to find the slope of the perpendicular line is as follows;

The slope of a line can be calculated using the formula:

`m = (y_2 - y_1)/(x_2 - x_1)`

where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line.

Given the points (-3, -1) and (3, 3), we can calculate the slope of the line as follows:

`m = (3 - (-1))/(3 - (-3)) = (4)/(6) = (2)/(3)`

The slope of a line perpendicular to this line is the negative reciprocal of the original slope. Therefore, the slope of the line perpendicular to the given line is:

`m_(\perp) = -(1)/(m) = -(3)/(2)`

Therefore;

The slope of the line that is perpendicular to the given line is -3/2.