Fast & Curious 2 - The Next TEKS

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often expressed as a ratio or slope.

Front

How do you determine if there is a constant rate of change in a table of values?

Back

A constant rate of change exists if the change in the dependent variable (y) divided by the change in the independent variable (x) is the same for all intervals.

Front

What does the slope of a graph represent?

Back

The slope of a graph represents the rate of change between the two variables plotted on the graph. It indicates how much y changes for a unit change in x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert an equation to slope-intercept form?

Back

To convert to slope-intercept form, solve for y in terms of x, isolating y on one side of the equation.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

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 zero.

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the formula slope = rise/run.