y=mx+b verbal

Front

What does the equation y = mx + b represent?

Back

It represents a linear equation where y is the dependent variable, m is the slope, x is the independent variable, and b is the y-intercept.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the rate of change of y with respect to x, showing how much y increases or decreases as x increases by one unit.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How do you identify the slope from a word problem?

Back

Look for the rate of change or the amount that one quantity increases or decreases for each unit increase in another quantity.

Front

What does it mean if the slope is positive in a linear equation?

Back

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

Front

What does it mean if the slope is negative in a linear equation?

Back

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

Front

In the equation y = 0.15x + 40, what does the 40 represent?

Back

The 40 represents the fixed monthly fee in the context of the internet plan.

Front

In the equation y = 15x + 80, what does the 15 represent?

Back

The 15 represents the number of new members added to the fitness club each month.

Front

How would you write an equation for a situation where a flat fee is charged plus a variable cost?

Back

The equation would be in the form y = mx + b, where m is the variable cost per unit and b is the flat fee.

Front

What is the equation for the total cost of x pounds of fruit if the cost is $2.50 per pound plus a $3 basket fee?

Back

The equation is y = 2.50x + 3.