# Worksheet: Slope Fields and Solution Curves

In this worksheet, we will practice drawing slope fields, which help visualize the general solution of first-order differential equations graphically.

Q1:

Consider the given slope field graph. At which point is the differential equation equal to zero? • APoint
• BPoint
• CPoint
• DPoint
• EPoint

Q2:

Consider the given slope field graph. Which of the following differential equations is represented on the graph? • A
• B
• C
• D
• E

Q3:

Which of the following is the slope field of the differential equation ?

• A • B • C • D • E Q4:

Which of the following is the slope field of the differential equation ?

• A • B • C • D • E Q5:

Consider the given slope field graph. Which of the following differential equations is represented on the graph? • A
• B
• C
• D
• E

Q6:

Consider the given slope field graph. Which of the following differential equations is represented on the graph? • A
• B
• C
• D
• E

Q7:

Which of the following is the slope field of the differential equation ?

• A • B • C • D • E Q8:

Which of the following is the slope field of the differential equation ?

• A • B • C • D • E Q9:

Which of the following is the slope field of the differential equation ?

• A • B • C • D • E Q10:

Consider the given slope field graph representing a differential equation. If the solution of the differential equation contains point , which point can also belong to the solution? • APoint
• BPoint
• CPoint
• DPoint
• EPoint

Q11:

The slope field of is shown. However, one of the quadrants is incorrect. Identify the incorrect quadrant. • A
• B
• C
• D

Q12:

The slope field for a particular differential equation is shown. Which curve represents a specific solution to the differential equation?

• A • B • C • D • E Q13:

The slope field for a particular differential equation is shown. Which of the following equations could be a specific solution to that differential equation? • A
• B
• C
• D
• E

Q14:

Which of the following is a slope field of the differential equation ?

• A • B • C • D • E Q15:

The slope field of is shown. Draw, on the same grid, the specific solution when , . • A • B • C • D • E 