Graphing Linear Equations Concepts

This video tutorial teaches how to graph linear equations using the slope and y-intercept. It covers graphing equations in slope-intercept form, handling positive and negative slopes, and dealing with slopes that take you off the coordinate plane. The tutorial also explains how to graph equations without a constant term and convert standard form equations to slope-intercept form. Special cases, such as horizontal and vertical lines, are also discussed.

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

• Convert to standard form

• Identify the slope and y-intercept

• Identify the x-intercept

• Plot random points

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 up 4 units and left 3 units

• Move up 4 units and right 3 units

• Move down 4 units and left 3 units

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

• Change the signs of both the numerator and denominator

• Ignore the slope

• Use a different equation

• Plot only the y-intercept

What does it mean if a linear equation has no constant term?

• The y-intercept is at the origin

• The slope is zero

• The x-intercept is at the origin

• The slope is undefined

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

• Multiply both sides by the y term

• Subtract the x term from both sides

• Divide both sides by the x term

• Add the x term to both sides

When converting to slope-intercept form, what should you do after isolating y?

• Divide every term by the coefficient of y

• Multiply by the slope

• Subtract the constant term

• Add the x term back

What is the graph of an equation with a slope of zero?

• A vertical line

• A diagonal line

• A horizontal line

• A curved line

What happens to the graph of an equation if there is no y term?

• It becomes a curved line

• It becomes a horizontal line

• It becomes a vertical line

• It becomes a diagonal line

In general, what is the slope of a vertical line?

• Undefined

• Negative

• Positive

• Zero

If an equation is in the form x = K, what is true about its graph?

• It is a horizontal line

• It is a vertical line

• It has a positive slope

• It passes through the origin