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Worksheet: Equation of a Straight Line from the Slope and y-Intercept
Q3:
In the figure below, is the point and . Find the coordinates of , the gradient of , and the equation of the perpendicular to that passes through in the form .
- A , ,
- B , ,
- C , ,
- D , ,
- E , ,
Q4:
Write the equation represented by the graph shown. Give your answer in the form .
- A
- B
- C
- D
- E
Q5:
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
Q6:
Find the coordinates of the point where intersects the -axis.
- A
- B
- C
- D
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:
Does the point lie on the line ?
- Ano
- Byes
Q10:
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.
Q11:
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
Q12:
Find the equation of the line with -intercept 4 and -intercept 9, and calculate the area of the triangle on this line and the two coordinate axes.
- A , area of triangle = 36 square units
- B , area of triangle = 18 square units
- C , area of triangle = 36 square units
- D , area of triangle = 18 square units
Q13:
Find the equation of the line with -intercept 3 and -intercept 5, and calculate the area of the triangle on this line and the two coordinate axes.
- A , area of triangle = 15 square units
- B , area of triangle = 7.5 square units
- C , area of triangle = 15 square units
- D , area of triangle = 7.5 square units
Q14:
Find the coordinates of the -intercept and the gradient of the straight line whose equation is .
- A ,
- B ,
- C ,
- D ,
- E ,
Q15:
Does the point lie on the line ?
- Ano
- Byes
Q16:
Does the point lie on the line ?
- Ayes
- Bno
Q17:
Find the equation, in the form , of the line with gradient and -intercept .
- A
- B
- C
- D
Q18:
Which of the following graphs represents the equation ?
- A
- B
- C
- D
- E
Q19:
What is the slope of the line that passes through the point and intercepts at ?