SL - Unit 5 Review

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

The slope represents the rate of change; for example, in a fitness club membership, it shows how many new members join per month.

Front

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

Back

The y-intercept (b) is the value of y when x = 0; it represents the starting point of the line on the y-axis.

Front

Write the equation for a line with a slope of 2 that passes through the point (0, 3).

Back

The equation is y = 2x + 3.

Front

If a line has a negative slope, what does that indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the equation for a line that passes through the point (1, 2) with a slope of 1/2?

Back

The equation is y = (1/2)x + 3/2.

Front

How do you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form y = mx + b.

Front

What is the formula for calculating the total cost of a meal with a delivery fee?

Back

The total cost is calculated as y = cost_per_person * number_of_people + delivery_fee.

Front

How can you represent a situation where a quantity increases by a constant amount over time?

Back

Use a linear equation of the form y = mx + b, where m is the constant increase per time unit.