4-5 Pt. 3 Writing Slope-Intercept Form Equations

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

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 write an equation for a situation where a person spends a fixed amount per day?

Back

The equation is written as y = -mx + b, where m is the amount spent per day and b is the initial amount.

Front

If a person starts with $100 and spends $20 per day, what is the equation?

Back

y = -20x + 100.

Front

How do you represent a situation where a person earns money over time?

Back

The equation is written as y = mx + b, where m is the amount earned per time unit and b is the initial amount.

Front

If Jerry has $20 and earns $7 per hour, what is the equation for his total money after x hours?

Back

y = 7x + 20.

Front

What is the equation for a person climbing down from a height at a constant rate?

Back

The equation is y = -mx + b, where m is the rate of descent and b is the initial height.

Front

If a man descends 30 feet per minute from 100 feet, what is the equation?

Back

y = -30x + 100.

Front

How do you derive the slope-intercept form from a table of values?

Back

Identify the slope (change in y/change in x) and the y-intercept (value of y when x=0) to write the equation.