TEKS 8.4B

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the unit rate?

Back

The unit rate is calculated by dividing the total quantity by the number of units. For example, if 12 dollars is spent on 3 shirts, the unit rate is 12 ÷ 3 = 4 dollars per shirt.

Front

What does a positive slope indicate in a graph?

Back

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

Front

What does a negative slope indicate in a graph?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If a water hose discharges water at a rate of 45 gallons per minute, what is the unit rate?

Back

The unit rate is 45 gallons per minute.

Front

If Leanor pays $16.50 for 6 shirts, what is the cost per shirt?

Back

The cost per shirt is $16.50 ÷ 6 = $2.75 per shirt.

Front

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

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 represent a relationship with a graph?

Back

A relationship can be represented with a graph by plotting points that correspond to the values of the two variables and connecting them to show the trend.

Front

What does it mean if a graph is a straight line?

Back

If a graph is a straight line, it indicates a constant rate of change between the two variables.