The slope of a line represents the ___ between the rise and run on a graph.

Ratio

What is the y-intercept in the equation y = 3x + 4?

The y-intercept is 4, which indicates the point where the line crosses the y-axis.

Fill in the blank: A linear equation always graphs to a ___.

Straight line

True or False: The standard form of a linear equation can include fractions.

False. The standard form requires A, B, and C to be integers with no fractions.

Riddle: I have no rise but can run forever. What am I?

A horizontal line, which has a slope of zero.

What is the primary advantage of using slope-intercept form for graphing a line?

It allows for quick identification of the y-intercept and the slope, making it easy to graph the line.

When two lines are said to be parallel, their slopes must be equal. Express this condition mathematically.

If two lines have equations y = m₁x + b₁ and y = m₂x + b₂, then m₁ = m₂.

Convert the point-slope equation y - 2 = 4(x - 1) to slope-intercept form.

Distributing gives y - 2 = 4x - 4. Adding 2 results in y = 4x - 2.