Slope Intercept and Standard Form Word Problems Translation

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

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

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

Back

Identify the variables, determine the relationship between them, and express it in the form of a linear equation.

Front

In the equation y = 40x + 150, what do the coefficients represent?

Back

40 is the slope (rate of saving per month), and 150 is the initial amount in savings.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How can you convert from slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C by moving terms around.

Front

What is the significance of the startup fee in a linear equation?

Back

The startup fee is the initial value (y-intercept) in the equation, representing a fixed cost before any usage.

Front

How do you identify the dependent and independent variables in a word problem?

Back

The dependent variable (y) is what you are trying to find, while the independent variable (x) is what you can control or change.

Front

What is the equation for a situation with a fixed cost and a variable cost?

Back

The equation is y = mx + b, where m is the variable cost per unit and b is the fixed cost.