Replacement Assessment

Front

What is a slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you determine if a pair of points has a specific slope?

Back

To determine the slope between two points (x1, y1) and (x2, y2), use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input value (x) corresponds to exactly one output value (y).

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is typically written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent 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 0.

Front

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

Back

To find the y-intercept from a linear equation in the form y = mx + b, simply identify the value of b.

Front

What is the meaning of the slope in a real-world context?

Back

In a real-world context, the slope represents the rate of change, such as speed or cost per unit.

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form of an equation.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients indicate the rate of change of the dependent variable with respect to the independent variable.