Understanding Point-Slope Form

The video tutorial explains how to graph equations in point-slope form. It begins with a review of the point-slope form, highlighting how to identify the slope and a point on the line from the equation. The tutorial then demonstrates graphing two examples: the first with a positive slope and the second with a negative slope. Key concepts include understanding the relationship between the equation's format and the graph's coordinates, and how to plot points and use the slope to find additional points on the line.

What is the primary purpose of the point-slope form of a linear equation?

• To find the y-intercept of a line

• To identify the x-intercept of a line

• To determine the slope and a point on the line

• To calculate the area under the line

In the equation Y + 2 = 3(x - 1), what is the slope of the line?

• 3

• 1

• 2

• 0

For the equation Y + 2 = 3(x - 1), what is the point on the line?

• (1, -2)

• (-1, -2)

• (-1, 2)

• (1, 2)

How do you graph a line using the slope 3/1 from the point (1, -2)?

• Move down 3 units and left 1 unit

• Move up 3 units and right 1 unit

• Move down 3 units and right 1 unit

• Move up 3 units and left 1 unit

In the second example, what is the slope of the line?

• -1/2

• 1/2

• -2

• 2

For the equation in the second example, what is the point on the line?

• (4, -3)

• (-4, 3)

• (-4, -3)

• (4, 3)

How is the negative sign in the slope -1/2 used for graphing?

• It is applied to both numerator and denominator

• It is ignored

• It is applied to the denominator

• It is applied to the numerator

What is the vertical change when using the slope -1/2 from the point (-4, 3)?

• Up 1

• Up 2

• Down 2

• Down 1

What is the horizontal change when using the slope -1/2 from the point (-4, 3)?

• Left 1

• Right 1

• Right 2

• Left 2

What is the final step in graphing the line in the second example?

• Calculating the slope

• Drawing the line through the points

• Identifying the x-intercept

• Plotting the y-intercept