Finding Slope on a Coordinate Plane Using Right Triangles

This video tutorial teaches how to find the slope of a line on a coordinate plane by constructing right triangles. It explains that the slope is the ratio of rise to run and remains constant for any straight line. The tutorial demonstrates how to construct right triangles on a grid and calculate the slope using different triangle sizes, emphasizing that the ratio remains the same due to triangle similarity. Additionally, it covers calculating slope using given coordinates by determining the differences in x and y values.

What is the definition of slope in the context of a coordinate plane?

• The difference between y-coordinates

• The ratio of run to rise

• The ratio of rise to run

• The difference between x-coordinates

Why does the size of the right triangle not affect the slope of a line?

• Because all triangles are similar

• Because all triangles have the same perimeter

• Because all triangles have the same area

• Because all triangles have the same angles

If a right triangle on a coordinate plane has a rise of 2 and a run of 4, what is the slope of the line?

• 2

• 1/4

• 4

• 1/2

How do you determine the rise when calculating the slope using given points?

• By subtracting the y-coordinates

• By adding the x-coordinates

• By subtracting the x-coordinates

• By adding the y-coordinates

Given two points with coordinates (8, 7) and (10, 3), what is the slope of the line?

• 2

• 1

• 1/2

• 4