Understanding Intercepts and Graphing a Line

The video tutorial explains how to find the intercepts of the equation y = -2x and graph it. It covers finding the x-intercept by setting y to zero and solving for x, which results in the origin as the intercept. The tutorial also discusses the slope-intercept form of the equation and how to use it to identify the intercepts. Additionally, it demonstrates graphing the line by creating a table of values and using the slope to plot points. The video concludes with a summary of the process.

What is the general form of a linear equation in slope-intercept form?

• x = my + b

• ax + by = c

• y = ax^2 + bx + c

• y = mx + b

How do you find the x-intercept of the equation y = -2x?

• Set x to zero and solve for y

• Set y to zero and solve for x

• Set both x and y to zero

• Solve for y when x is one

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

• (0, 0)

• (1, 0)

• (2, 0)

• (0, 1)

Why is the origin both the x-intercept and y-intercept for the equation y = -2x?

• Because the line is vertical

• Because both intercepts are at (0, 0)

• Because the slope is zero

• Because the equation is quadratic

What additional point is found when x = 1 for the equation y = -2x?

• (1, -1)

• (1, 0)

• (1, 2)

• (1, -2)

What is the y-value when x = 2 for the equation y = -2x?

• -4

• 4

• -2

• 2

How can you use the slope to find additional points on the line y = -2x?

• Move right 2 and up 1

• Move down 2 and right 1

• Move left 2 and down 1

• Move up 2 and left 1

What is the slope of the line represented by the equation y = -2x?

• 1

• 0

• 2

• -2

Which of the following points lies on the line y = -2x?

• (2, -4)

• (2, 4)

• (2, 0)

• (0, 2)

What is the vertical change over the horizontal change for the slope of y = -2x?

• -2 over 1

• -1 over 2

• 1 over -2

• 2 over 1