my question in (slope)
find the coordinates of a quadrilateral so that the slope of all four sides are negative ???
please explain your answer .
find the coordinates of a quadrilateral so that the slope of all four sides are negative ???
please explain your answer
(0,0), (-5, +8), (-8, +9) and (-3, +1) or any similarly shaped quadrilateral.
Any line between the +y axis and the -x axis or the +x axis and the -y axis. will have a negative slope.
i don't understand
what does a quadrilateral mean?
To find the coordinates of a quadrilateral where all four sides have negative slopes, we can follow these steps:
1. Understand the concept of slope: The slope of a line measures how steep it is. It is defined as the ratio of the change in the y-coordinates to the change in the x-coordinates between any two points on the line.
2. Determine the characteristics of lines with negative slopes: Lines with negative slopes always slope downward from the left side to the right side of the graph. In other words, as you move from left to right along the line, the y-value decreases.
3. Determine the desired quadrilateral's shape: Since we want all four sides of the quadrilateral to have negative slopes, it suggests that the shape will be slanted downwards from left to right.
4. Use the coordinates to plot the quadrilateral: Let's start by assuming the bottom left vertex of the quadrilateral will be at point (x₁, y₁), where both x₁ and y₁ are negative values. You can freely choose any negative numbers for x₁ and y₁. This point will represent the starting point or the base of our quadrilateral.
5. Determine the coordinates of the remaining three vertices: To ensure negative slopes, consider the following scenarios for each vertex:
a. Choose a point (x₂, y₂) above and to the right of (x₁, y₁). The x-coordinate, x₂, should be greater than x₁, and the y-coordinate, y₂, should be smaller than y₁.
b. Choose a point (x₃, y₃) above and to the right of (x₂, y₂). The x-coordinate, x₃, should be greater than x₂, and the y-coordinate, y₃, should be smaller than y₂.
c. Choose a point (x₄, y₄) above and to the right of (x₃, y₃). The x-coordinate, x₄, should be greater than x₃, and the y-coordinate, y₄, should be smaller than y₃.
6. Plot the points: Use these calculated coordinates to plot the four vertices on a graph.
7. Verify the slopes of the quadrilateral: Calculate the slope for each side of the quadrilateral. Ensure that all four slopes are negative.
By following these steps, you can find the coordinates of a quadrilateral where all four sides have negative slopes.