Mastering Slope: Calculate & Identify from Graphs

A line on a graph passes through the points (2, 3) and (4, 7). What is the slope of the line?

• 1

• 3

• 4

• 2

A car travels at a constant speed, and its distance from a starting point can be represented by the equation y = 5x + 10. What is the slope of this line?

• -5

• 5

• 10

• 0

The graph of a line shows that it crosses the y-axis at (0, -2) and has a slope of 3. Write the equation of the line in slope-intercept form.

• y = 3x + 2

• y = -3x - 2

• y = 2x - 3

• y = 3x - 2

A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. What is the slope of the line representing the total cost as a function of hours rented?

• 10

• 3

• 5

• 2

From the graph, a line passes through the points (1, 2) and (3, 6). Calculate the slope of the line.

• 1

• 4

• 2

• 3

A student plots a graph showing the number of books read over time. If the line has a slope of 4, how many books does the student read per month?

• 4 books per month

• 6 books per month

• 2 books per month

• 10 books per month

The equation of a line is given as y = -2x + 5. Identify the slope and the y-intercept of this line.

• Slope: -2, Y-intercept: 5

• Slope: 0, Y-intercept: 5

• Slope: -5, Y-intercept: 2

• Slope: 2, Y-intercept: 5

A line on a graph has a slope of -1 and passes through the point (4, 2). What is the y-intercept of this line?

• 0

• 8

• 6

• 4

A store's sales can be modeled by the equation y = 20x + 100, where x is the number of weeks and y is the total sales. What does the slope represent in this context?

• The slope shows the decrease in total sales per week, which is -20.

• The slope represents the total sales after one week, which is 100.

• The slope indicates the number of weeks needed to reach total sales of 20.

• The slope represents the increase in total sales per week, which is 20.

A line passes through the points (0, 0) and (5, 10). What is the slope of the line, and what does it represent in a real-world scenario?

• The slope of the line is 1.

• The slope of the line is 0.

• The slope of the line is 5.

• The slope of the line is 2.