Retake 7ext Slope Connections

Front

What is the rate of change (unit rate)?

Back

The rate of change (unit rate) is the ratio that describes how one quantity changes in relation to another. For example, if a graph shows a change of 40 units over a change in time, the rate of change is 40.

Front

What does the equation y = -x + 2 represent?

Back

The equation y = -x + 2 represents a linear function where the slope is -1 and the y-intercept is 2. This means the line decreases as x increases.

Front

How do you determine the unit rate from a scenario?

Back

To determine the unit rate, divide the total quantity by the number of units. For example, if Taylor can write 150 words in 6 minutes, the unit rate is 150/6 = 25 words per minute.

Front

What is the equation for a line that shows Nancy typing 50 words per minute?

Back

The equation is w = 50m, where w is the total words typed and m is the minutes.

Front

What does the equation y = x + 4 indicate about the relationship between x and y?

Back

The equation y = x + 4 indicates that for every increase of 1 in x, y increases by 1, starting from 4.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (difference in y-coordinates) and the run (difference in x-coordinates), and divide rise by run.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases, resulting in a downward slant of the line.

Front

What is the y-intercept in a linear equation?

Back

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