Favela's y=mx+b

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

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

Back

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

Front

In the equation y = 3/2x + 3, what is the slope?

Back

The slope is 3/2.

Front

In the equation y = 3/2x + 3, what is the y-intercept?

Back

The y-intercept is 3.

Front

How do you write a linear equation for a total cost that includes a fixed fee and a variable cost per person?

Back

The equation is C = fixed fee + (cost per person * number of people).

Front

If a holiday meal costs $12.50 per person and has a $30 delivery fee, what is the equation for total cost?

Back

C = 30 + 12.5x, where x is the number of people.

Front

What is the equation for Sandra's spending with a $20 gift card if she spends $3 each month?

Back

The equation is C = -3x + 20, where x is the number of months.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.