Finding Slope Through Various Methods

This video tutorial explains how to find the slope of a line using different methods: from a graph, a table, two points, and an equation. It covers the concept of 'rise over run' for graphs, the change in Y over change in X for tables, and the formula y2-y1 over x2-x1 for two points. The video also discusses identifying the slope in the linear equation y=mx+b, emphasizing that the slope is the coefficient of x.

What does 'rise over run' represent in the context of a graph?

• The method to find the slope

• The way to measure the graph's length

• The formula for calculating area

• The technique for determining the graph's width

If you move upwards on a graph, what sign does the 'rise' have?

• Negative

• Positive

• Zero

• Undefined

If the slope is negative, in which direction does the line go?

• Vertically

• Downwards to the right

• Upwards to the right

• Horizontally

In a table, what does the change in Y over the change in X represent?

• The table's dimensions

• The slope of the data

• The sum of all Y values

• The difference in table entries

How do you calculate slope from two points?

• y2 + y1 over x2 + x1

• y2 - y1 times x2 - x1

• y2 + y1 times x2 + x1

• y2 - y1 over x2 - x1

In the formula y2 - y1 over x2 - x1, what do y2 and y1 represent?

• Slope values

• Coordinates of the Y-axis

• Coordinates of the X-axis

• Intercept points

What is the slope in the equation y = 2x - 3?

• -3

• 3

• 2

• -2

What does the slope indicate in a linear equation?

• The line's length

• The intercept on the Y-axis

• The curve's direction

• The steepness and direction of the line

What does a slope of 1 indicate about the line?

• It's horizontal

• It's vertical

• It rises one unit for every unit it runs

• It's a curve

What is the slope in the equation y = 1/3x?

• 1/3

• 3

• -1/3

• -3