Slope Intercept: Word Problems

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 the equation y = 15x + 20?

Back

The slope is 15, which indicates that for every 1 unit increase in x, y increases by 15 units.

Front

What does the y-intercept represent in the equation y = -20x + 100?

Back

The y-intercept is 100, meaning that when x = 0, the value of y is 100.

Front

Write the equation for a situation where a person starts with $50 and spends $5 per day.

Back

y = -5x + 50.

Front

In the equation y = 1/3x - 2, what does the slope tell us?

Back

The slope of 1/3 means that for every 3 units increase in x, y increases by 1 unit.

Front

If a tree grows 2 inches every month and was 10 inches tall when bought, what is the equation for its height after x months?

Back

y = 2x + 10.

Front

What does a negative slope indicate in a word problem?

Back

A negative slope indicates that as one quantity increases, the other quantity decreases.

Front

How do you convert a word problem into a slope-intercept equation?

Back

Identify the starting value (y-intercept) and the rate of change (slope) from the problem.

Front

Write the equation for a scenario where a person earns $12 per hour and starts with $30.

Back

y = 12x + 30.

Front

What is the significance of the y-intercept in real-life applications?

Back

The y-intercept represents the initial value or starting point before any changes occur.