Open Up Math 8 Unit 3 Lessons 1-4 Review

Front

What is the definition of slope in mathematics?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line, often expressed as rise/run.

Front

How can you determine if a slope is positive or negative?

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Front

What does it mean for a graph to show a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality in a linear equation?

Back

The constant of proportionality (k) is the constant factor that relates the two variables in a proportional relationship, represented in the equation y = kx.

Front

In the equation y = kx, what does 'k' represent?

Back

In the equation y = kx, 'k' represents the constant of proportionality, which indicates how much y changes for a unit change in x.

Front

What is the formula to calculate slope between two points (x1, y1) and (x2, y2)?

Back

The formula to calculate slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How can you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change), and calculate the slope as rise/run.

Front

What does it mean if a line has a slope of zero?

Back

A line with a slope of zero is horizontal, indicating that there is no change in y as x changes.

Front

What is the relationship between slope and steepness of a line?

Back

The slope of a line indicates its steepness; a larger absolute value of slope means a steeper line.