Slope Intercept Form Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

If a linear equation has a slope of 2 and a y-intercept of -3, what is the equation?

Back

The equation is y = 2x - 3.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between the two variables in a real-world context, indicating how much one variable changes in relation to another.

Front

In the equation y = 3x + 4, what is the slope and y-intercept?

Back

The slope is 3 and the y-intercept is 4.

Front

How can you determine the total cost of a service using a linear equation?

Back

You can determine the total cost by identifying fixed costs (y-intercept) and variable costs (slope) to form the equation y = mx + b.

Front

What is the equation for a service that has a $50 fixed fee and $10 per hour charge?

Back

The equation is y = 10x + 50, where y is the total cost and x is the number of hours.

Front

How do you interpret the slope in the context of a towing service that charges $1 per mile?

Back

The slope of $1 per mile indicates that for every additional mile towed, the total cost increases by $1.