Graphing Linear Equations Concepts

This video tutorial teaches how to graph linear equations using slope and y-intercept. It covers graphing in slope-intercept form, handling negative and large slopes, and graphing without a constant term. The tutorial also explains converting standard form to slope-intercept form and addresses special cases like horizontal and vertical lines.

What is the first step in graphing a linear equation in slope-intercept form?

• Draw a horizontal line

• Convert to standard form

• Plot the x-intercept

• Identify the slope and y-intercept

If the slope is 4/3, how do you plot the second point from the y-intercept?

• Move down 4 units and right 3 units

• Move down 4 units and left 3 units

• Move up 4 units and left 3 units

• Move up 4 units and right 3 units

How do you handle a slope that takes you off the coordinate plane?

• Use a different equation

• Ignore the slope

• Change the signs of both the numerator and denominator

• Plot only the y-intercept

What does it mean if there is no constant term in the equation?

• The y-intercept is at the origin

• The line is vertical

• The equation is invalid

• The slope is zero

What is the first step in converting a standard form equation to slope-intercept form?

• Multiply both sides by the y coefficient

• Divide both sides by the x coefficient

• Subtract the x term from both sides

• Add the x term to both sides

What is the slope of the equation y = 0x - 4?

• Undefined

• Zero

• Positive

• Negative

What type of line is formed when the slope is zero?

• Curved

• Vertical

• Horizontal

• Diagonal

What does the equation x = 2 represent on a graph?

• A horizontal line at y = 2

• A point at (2, 0)

• A vertical line at x = 2

• A diagonal line through the origin

If an equation is in the form y = k, what can be said about the line?

• It is a vertical line

• It is a horizontal line

• It has an undefined slope

• It passes through the origin

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

• (2, 2)

• (2, 0)

• (0, 0)

• (0, 2)