Slope-Intercept Word Problems (Set Up Only)

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 identify the slope in a word problem?

Back

The slope represents the rate of change, often described as 'per unit' in the context of the problem.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the situation described.

Front

Write the equation for a line with a slope of -2 and a y-intercept of 5.

Back

y = -2x + 5

Front

If a person gives away 10 items every hour, how would you express this in a linear equation?

Back

y = -10x + initial amount of items.

Front

What does a negative slope indicate in a real-world context?

Back

A negative slope indicates a decrease in the quantity over time.

Front

Write an equation for a line with a slope of 3 and a y-intercept of -4.

Back

y = 3x - 4

Front

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

Back

The initial value is typically the starting amount before any changes occur, often found when x = 0.

Front

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

Back

The slope indicates how much one quantity changes in relation to another, such as speed or rate of consumption.

Front

Write the equation for a line with a y-intercept of 12 and a slope of -1.

Back

y = -1x + 12