Graphing Linear Equations: Key Concepts and Techniques

The video tutorial reviews the concepts of slope and intercept, focusing on graphing linear equations using the slope-intercept form. It provides step-by-step instructions and examples, including special cases and converting equations from standard form to slope-intercept form. The tutorial concludes with practice problems to reinforce learning.

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

• y = mx + b

• ax + by = c

• y = mx - b

• x = my + b

If the slope is -1 and the y-intercept is 5, where do you start plotting on the y-axis?

• At 0

• At 1

• At 5

• At -5

What does the slope of 3/1 indicate about the steps to plot additional points?

• Down 3, left 1

• Up 3, right 1

• Up 1, right 3

• Down 1, right 3

What does a negative slope indicate about the direction of the line?

• It falls to the right

• It rises to the right

• It is horizontal

• It is vertical

If the slope is 2/5 and the y-intercept is 2, what is the next point you plot if you start at the intercept?

• (5, 4)

• (7, 4)

• (7, 2)

• (2, 7)

How do you graph a line if the equation is given in a reversed order?

• Start with the x-intercept

• Only plot positive slopes

• Graph only in the negative quadrant

• Ignore the order and start with the y-intercept

What is the y-intercept of the equation y = -4x?

• 0

• 4

• 1

• -4

How do you handle an equation where the y-intercept is not explicitly given?

• Ignore the equation

• Assume the intercept is 1

• Assume the intercept is 0

• Plot only the slope

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

• Add x to both sides

• Divide all terms by the coefficient of y

• Subtract x from both sides

• Multiply all terms by the coefficient of x

In the equation y = -13x - 1, what is the slope?

• -13

• -1

• 1

• 13