Slope Intercept Word Problems

Front

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

Back

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

Front

How do you identify the slope in a word problem?

Back

The slope in a word problem represents the rate of change, which can be identified by the amount of change in the dependent variable per unit change in the independent variable.

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Front

How can you convert a word problem into a linear equation?

Back

To convert a word problem into a linear equation, identify the quantities involved, determine the relationship between them, and express it in the form y = mx + b.

Front

In the equation y = 800 - 15x, what does the 800 represent?

Back

In the equation y = 800 - 15x, the 800 represents the initial amount of money Owen has before spending on dinners.

Front

In the equation y = -20x + 100, what does the -20 indicate?

Back

In the equation y = -20x + 100, the -20 indicates that Nicholas spends $20 each day.

Front

What does the variable 'x' typically represent in these equations?

Back

In these equations, 'x' typically represents the number of units of the independent variable, such as days, hours, or meals.

Front

How do you determine the initial value in a linear equation from a word problem?

Back

The initial value can be determined by identifying the starting point or amount before any changes occur, often found in the problem statement.

Front

What is the significance of the slope in a real-world scenario?

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable, reflecting the rate of change.

Front

How can you graph a linear equation derived from a word problem?

Back

To graph a linear equation, plot the y-intercept on the y-axis, use the slope to find another point, and draw a line through the points.