Writing Linear Equations

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 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating the steepness and direction.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the fixed fee in the equation f(x) = 2.75x + 4.25?

Back

The fixed fee is $4.25, which is the cost paid at the beginning of the ride.

Front

How can you determine the equation of a line from a table of values?

Back

You can determine the equation by finding the slope and y-intercept from the values.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed.

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept often represents a starting value or fixed cost in real-world applications.