Writing Equations Practice

Front

What is the equation of a line with a slope of -2 and a y-intercept of 4?

Back

y = -2x + 4

Front

If Rich pays a monthly fee of $10 and $3 for each visit, how would you write the equation for his total cost, y, based on the number of visits, x?

Back

y = 3x + 10

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.

Front

What is the equation to calculate the total cost, c, of a phone call that costs $3.00 plus $0.15 per minute?

Back

c = 3.00 + 0.15m

Front

How do you represent the total cost of a pizza that costs $15 plus $1.50 for each topping?

Back

y = 15 + 1.5x

Front

What is the slope in the equation y = 5x - 3?

Back

The slope is 5.

Front

In the equation y = mx + b, what do m and b represent?

Back

m represents the slope of the line, and b represents the y-intercept.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Front

How would you write an equation for a situation where a person pays a flat fee plus a variable cost?

Back

The equation would be in the form y = mx + b, where m is the variable cost per unit and b is the flat fee.