Chapter 3 Test Review

Front

What is the y-intercept in the linear equation y = 5x - 6?

Back

-6

Front

Write the equation of the line with a slope of -3 and a y-intercept of -3.

Back

y = -3x - 3

Front

A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation that represents the length y (in feet) of a boa constrictor that is x years old.

Back

y = 8x + 18

Front

Emma went skating and paid $5.00 to rent skates and $3.00 per hour. What does the slope of the equation y = 3x + 5 represent?

Back

3; it costs $3 per hour to skate.

Front

Write the equation of the line with a slope of -5/4 and a y-intercept of 2.

Back

y = -\frac{5}{4}x + 2

Front

What does the slope of a line represent in a real-world context?

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'slope' refer to in a linear equation?

Back

The steepness or incline of the line, represented by 'm' in the equation y = mx + b.

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

m = \frac{y2 - y1}{x2 - x1}.