Exploring Points and Lines in Graphing

Dr. Nelson introduces graphing points and lines using x and y coordinates. The video covers the basics of the x-axis and y-axis, how to plot points, and graph linear equations using slope-intercept form. It also includes solving equations to find points for graphing lines, providing a comprehensive guide to understanding graphing in mathematics.

What is the horizontal axis commonly called?

• y-axis

• z-axis

• w-axis

• x-axis

In which direction do the values increase on the x-axis?

• Up

• Down

• Left

• Right

Which quadrant contains positive x values and negative y values?

• First

• Second

• Fourth

• Third

What are the coordinates of the origin?

• (0,1)

• (1,1)

• (1,0)

• (0,0)

If a point has coordinates (3, -4), in which direction do you move from the origin?

• Left 3, Up 4

• Right 3, Down 4

• Left 3, Down 4

• Right 3, Up 4

What is the y-coordinate of the point (-6, 3)?

• -6

• 3

• 0

• -3

What is the first step in graphing the equation y = -2x + 1?

• Find the slope

• Find the y-intercept

• Create an x-y chart

• Plot the points

What is the y-coordinate when x is 0 in the equation y = -2x + 1?

• 0

• -1

• 2

• 1

In the equation y = -2x + 1, what does the -2 represent?

• Y-intercept

• Slope

• X-intercept

• Constant

What is the y-coordinate when x is 3 in the equation 4x - 6y = 12?

• 0

• 2

• -2

• 3