Graphing Linear Equations in Slope-Intercept Form

The video tutorial explains how to graph linear equations using slope-intercept form. It covers the basics of slope, including positive and negative slopes, and how they affect the direction of a graph. The tutorial also discusses y-intercepts and how constants in equations determine the starting point of a graph. Through examples, viewers learn to graph equations with and without constants, using the slope to determine the direction and steepness of the line.

What is the definition of slope?

• Difference between x and y

• Change in y over change in x

• Change in x over change in y

• Sum of x and y

If a graph has a positive slope, how does it appear?

• Decreasing from left to right

• Increasing from left to right

• Vertical line

• Horizontal line

When graphing y = 2/5x, what is the first point you plot?

• (1, 1)

• (0, 0)

• (2, 5)

• (5, 2)

How do you graph a negative slope starting from the origin?

• Down and to the left

• Up and to the right

• Down and to the right

• Up and to the left

What is the y-intercept of the equation y = 2/5x + 5?

• 5

• -5

• 0

• 2/5

Where does the graph of y = 2/5x - 6 start?

• At y = 2/5

• At y = -6

• At y = 5

• At the origin

What is the y-intercept of a graph that starts at the origin?

• 0

• -1

• 1

• It depends on the slope

How do you graph y = 2/3x starting from the origin?

• Down 3, left 2

• Up 3, right 2

• Up 2, right 3

• Down 2, left 3

For the equation y = -4x, what is the slope?

• -1/4

• -4

• 1/4

• 4

In the equation y = -2/3x + 2, what does the +2 represent?

• The origin

• The x-intercept

• The slope

• The y-intercept