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