Unit 3 Lessons 8-14 Pre Test 8th

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the change in y (vertical) to the change in x (horizontal), often expressed as m in the equation y = mx + b.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin (0,0) on a graph, meaning that as one quantity increases, the other quantity increases at a constant rate.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified on a graph if the line passes through the origin (0,0) and is straight.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point, then draw a straight line through the points.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed in a distance-time graph, indicating how one quantity changes in relation to another.

Front

What is the formula for finding the slope of a line given two points?

Back

The formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.