Math 8 MidTerm Exam - 2024

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope of a line given two points?

Back

To find the slope (m) of a line passing through two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often used to describe the slope in a proportional relationship.

Front

What is the slope of the line that passes through the points (0,3) and (8,4)?

Back

m = (4 - 3) / (8 - 0) = 1/8.

Front

What does it mean for points to be collinear?

Back

Collinear points are points that lie on the same straight line.

Front

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

Back

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

Front

How do you determine the y-intercept from a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation of the line and solving for y.

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

What is the formula for finding the slope between two points?

Back

The formula for slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.