Graphing Point Slope Techniques

The video tutorial explains how to graph a line using the point-slope form of an equation. It covers the identification of points and slopes from the equation, emphasizing the importance of using opposite values due to the subtraction in the formula. The tutorial provides step-by-step instructions on plotting points and using the slope to draw the line, along with several examples for practice.

What information can be directly gathered from the point-slope form equation?

• The x-intercept and the slope

• A point on the line and the slope

• The y-intercept and the slope

• The midpoint and the slope

In point-slope form, what does the 'm' represent?

• The y-intercept

• The x-intercept

• The slope

• The midpoint

Why is it important to take the opposite values when extracting the point from the point-slope form equation?

• Because the equation uses subtraction

• Because the equation uses multiplication

• Because the equation uses addition

• Because the equation uses division

If the equation is y - 2 = -1/2(x + 3), what is the x-coordinate of the point?

• 3

• -3

• 2

• -2

In the equation y - 2 = -1/2(x + 3), what is the slope?

• 1/2

• 2

• -2

• -1/2

When plotting the point (-3, 2) and using the slope -1/2, what is the next point you plot?

• (-5, 3)

• (-5, 1)

• (-1, 1)

• (-1, 3)

What is the significance of the arrows at the end of the line on the graph?

• They indicate the line is a ray

• They indicate the line is finite

• They indicate the line continues forever in both directions

• They indicate the line is a segment

In the equation y - 3 = 2(x - 2), what is the y-coordinate of the point?

• 3

• -3

• 2

• -2

If the slope is 2/1, how do you plot the next point from (2, 3)?

• Down 1, left 2

• Up 2, right 1

• Up 1, right 2

• Down 2, left 1

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

• 3/2

• 1/2

• -1/2

• -3/2