Interpreting Linear Equations

Front

What does the equation y = mx + b represent in linear equations?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

In the equation y = 50 + 3x, what does the '3' represent?

Back

The '3' represents the rate at which the height of the balloon increases in meters per second.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the line on the y-axis.

Front

In the equation y = 1.50x + 5 - 0.25x, what does '1.50' represent?

Back

It represents the rate per mile that Julia earns from driving.

Front

What does the variable 'x' typically represent in a linear equation?

Back

In a linear equation, 'x' usually represents the independent variable, often the input or quantity that affects the output.

Front

How do you find the total cost represented by the equation y = 2(25) + 65x?

Back

You substitute the value of x (number of registered drivers) into the equation to calculate the total cost.

Front

What does the equation y = 20 + 2x represent in terms of a tree's growth?

Back

It represents the height of the tree after x weeks, where '2' is the growth rate per week.

Front

In the context of the equation y = 1.50x + 5 - 0.25x, what does '5' represent?

Back

The '5' represents the tip that Julia receives for the ride.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x; it shows how much y increases or decreases as x increases.

Front

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

Back

The 'b' signifies the y-intercept, the point where the line crosses the y-axis.