Given two points on a graph find the slope using slope triangle

The video tutorial explains how to find the slope of a line given two points. It clarifies that slope and rate of change are the same, involving the change in Y over the change in X. The instructor demonstrates how to identify coordinates from a graph and calculate the slope using a slope triangle. The video also covers the interpretation of positive and negative slopes and concludes with a final slope calculation.

What is the relationship between slope and rate of change?

• Slope is twice the rate of change.

• Slope is unrelated to rate of change.

• Slope is the inverse of rate of change.

• Slope and rate of change are the same.

When determining coordinates on a graph with non-uniform increments, what should you be cautious of?

• The scale of the graph.

• The thickness of the graph lines.

• The color of the graph lines.

• The type of graph paper used.

What is a slope triangle used for?

• To calculate the area of a triangle.

• To measure angles in a graph.

• To count units and determine slope.

• To find the midpoint of a line.

How do you calculate the change in Y values using a slope triangle?

• By subtracting the X coordinates.

• By adding the X and Y coordinates.

• By counting the vertical units.

• By measuring the horizontal distance.

What happens to the slope if the numerator or denominator is negative?

• The slope becomes positive.

• The slope remains the same.

• The slope becomes zero.

• The slope becomes undefined.

How can you simplify the fraction representing the slope?

• By adding a constant to both numerator and denominator.

• By dividing both numerator and denominator by their greatest common divisor.

• By multiplying both numerator and denominator by two.

• By subtracting a constant from both numerator and denominator.

What is the final simplified slope in the example given?

• -3/4

• -5/6

• -2/3

• -4/5