Math 8 Ch. 4 Part 1 REVIEW

Front

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

Back

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

The equation of a line can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the cost equation for a holiday meal that costs $12.50 per person plus a $30 delivery fee?

Back

The cost equation is y = 30 + 12.5x, where y is the total cost and x is the number of people.

Front

How do you model the descent of an airplane starting at a height of 30,000 feet descending at 2,000 feet per minute?

Back

The equation to model this situation is y = -2000x + 30000, where y is the height in feet and x is the time in minutes.

Front

How do you convert the equation y + 5 = -3(x - 6) into slope-intercept form?

Back

To convert it, distribute and rearrange: y = -3x + 18 - 5, which simplifies to y = -3x + 13.

Front

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

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the two points.

Front

What is the significance of the delivery fee in the cost equation for a holiday meal?

Back

The delivery fee is a fixed cost that does not change with the number of people, affecting the total cost regardless of x.

Front

How do you interpret the negative slope in the airplane descent equation?

Back

A negative slope indicates that the height of the airplane is decreasing over time, reflecting its descent.