# Worksheet: Equation of a Straight Line: Slope–Intercept Form

In this worksheet, we will practice finding the equation of a straight line in slope–intercept form given its slope and its y-intercept, two points on it, or its graph.

**Q3: **

Find the equation of the line with -intercept 3 and -intercept 7, and calculate the area of the triangle on this line and the two coordinate axes.

- A , area of triangle = 10.5 square units
- B , area of triangle = 10.5 square units
- C , area of triangle = 21 square units
- D , area of triangle = 21 square units

**Q4: **

Write the equation represented by the graph shown. Give your answer in the form .

- A
- B
- C
- D
- E

**Q6: **

Find the coordinates of the point where intersects the -axis.

- A
- B
- C
- D

**Q7: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q8: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q9: **

Find the equation, in the form , of the line with slope and -intercept .

- A
- B
- C
- D

**Q10: **

Does the point lie on the line ?

- Ano
- Byes

**Q11: **

Does the point lie on the line ?

- Ayes
- Bno

**Q12: **

Does the point lie on the line ?

- Ano
- Byes

**Q13: **

What is the slope of the line that passes through the point and intercepts at ?

**Q14: **

The points in this table lie on a line. Find the equation of the line in slope-intercept form.

5 | 10 | 15 | 20 | |

- A
- B
- C
- D
- E

**Q15: **

Which of the following is the Cartesian equation of the line through with slope ?

- A
- B
- C
- D
- E

**Q18: **

Write the equation represented by the graph shown. Give your answer in the form .

- A
- B
- C
- D
- E

**Q19: **

Write the equation represented by the graph shown. Give your answer in the form .

- A
- B
- C
- D
- E

**Q21: **

Find, in slope-intercept form, the equation of the graph with -intercept and slope 7.

- A
- B
- C
- D
- E

**Q24: **

Write the equation represented by the graph shown. Give your answer in the form .

- A
- B
- C
- D
- E

**Q25: **

Write the equation of the line passing through and .

- A
- B
- C
- D
- E