Slope Intercept Form Word Problems

Front

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

Back

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

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation, 'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you determine the slope from a word problem?

Back

To determine the slope from a word problem, identify the rate of change described in the problem, such as cost per item or speed.

Front

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

Back

The y-intercept represents the starting value or initial condition before any changes occur, such as initial money or starting height.

Front

How can you write an equation from a word problem involving hourly pay?

Back

Identify the hourly rate as the slope and the initial amount as the y-intercept, then use the form y = mx + b.

Front

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

Back

The slope indicates how one quantity changes in relation to another, such as cost per ride or speed.

Front

How do you interpret the y-intercept in a cost problem?

Back

The y-intercept indicates the fixed cost or initial fee before any variable costs are added.

Front

What is the equation for a situation where a quantity decreases over time?

Back

The equation will have a negative slope, such as y = -mx + b, indicating a decrease in the quantity.

Front

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

Back

Identify the variables, determine the slope and y-intercept, and then write the equation in slope-intercept form.