# Worksheet: Equation of a Straight Line from the Slope and y-Intercept

In this worksheet, we will practice finding the equation of a straight line in different forms given its slope and its y-intercept.

**Q4: **

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

**Q5: **

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

- A
- B
- C
- D
- E

**Q7: **

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

- A
- B
- C
- D

**Q8: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q9: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q10: **

In the figure below, is the point and . Find the coordinates of , the slope of , and the equation of the perpendicular to that passes through in the form .

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q12: **

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

- A
- B
- C
- D

**Q13: **

Does the point lie on the line ?

- Ano
- Byes

**Q14: **

Does the point lie on the line ?

- Ano
- Byes

**Q15: **

Does the point lie on the line ?

- Ayes
- Bno

**Q16: **

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

**Q17: **

The graph of the equation is a straight line.

What is the slope of the line?

Which one of the following points lies on the line?

- A
- B
- C
- D
- E

**Q18: **

The line passes through the sphere . Find the length of the line segment between the two points of intersection of the line and the sphere. Give your answer to the nearest hundredth.

**Q19: **

A straight line has the equation . What is the slope of the line?