Slope Intercept Form

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 identify the slope from the equation y = 3x + 8?

Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How do you identify the y-intercept from the equation y = -20x + 100?

Back

The y-intercept is 100, meaning the line crosses the y-axis at the point (0, 100).

Front

Write the equation for a situation where a person starts with $50 and spends $5 per day.

Back

y = -5x + 50.

Front

Write the equation for a situation where a person earns $15 per hour and starts with $100.

Back

y = 15x + 100.

Front

If a line has a slope of -2, what does this indicate about the relationship between x and y?

Back

It indicates that as x increases, y decreases at a rate of 2 units for every 1 unit increase in x.

Front

What is the equation for a service that charges a flat fee of $30 plus $10 per hour?

Back

y = 10x + 30.

Front

How would you write the equation for a situation where a person has $200 and spends $25 each week?

Back

y = -25x + 200.