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?