In this worksheet, we will practice calculating the slope of a line given two points that lie on it and find the coordinates of a point on a line where another point and the slope are known.
Q3:
What is the value of so that , , and are collinear?
Q4:
Given that and are the direction vectors of two perpendicular straight lines, determine the value of .
- A
- B
- C
- D72
Q5:
In the square with and , the diagonals are and . What is the slope of ?
- A6
- B
- C0
- D1
Q6:
Determine the slope of the straight line that makes an angle whose cosine is with the positive -axis.
- A
- B
- C
- D
Q7:
In the figure below, find the slope of the line , and round the result to the nearest hundredth.
Q8:
If is a parallelogram, where and , find the slope of .
- A
- B
- C
- D
Q9:
Given that is right angled at and that the coordinates of and are and , respectively, determine the slope of .
- A
- B
- C0
- D
Q10:
Find the slope of the straight line whose equation is and passes through the point .
- A
- B
- C
- D
Q11:
In this figure, the slope of is .
- Aundefined
- Bzero
- Cpositive
- Dnegative
Q12:
Given that the slope of the line passing through , , and is , find the values of and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q13:
Find the slope of the given straight line.
- A
- B
- C7
- D
- E1
Q14:
is a right-angled triangle at where and the coordinates of and are and respectively. Find the coordinates of given the slope of is 1.
- A
- B
- C
- D
- E
Q15:
Use the graph to answer the following questions.
Determine the lengths of , , , and .
- A , , ,
- B , , ,
- C , , ,
- D , , ,
- E , , ,
What is the ratio of ?
What do you notice about the ratios and ?
- AThey are not equal.
- BThey are equal.
What do the ratios and represent?
- Athe inverse of the slope of the line
- Bthe slope of the line
Q16:
Which line has a slope that is greater than 1?
- A b
- B a
- C c
Q19:
Which of the following characteristics does the line that passes through the points , , and have?
- A a positive slope and a negative -intercept
- B a positive slope and a positive -intercept
- C a negative slope and a positive -intercept
- Da negative slope and a negative -intercept
Q20:
What is the value of in the graph if the slope is equal to 0.7? Give your answer correct to two decimal places.
Q21:
A straight line has the equation . What is the slope of the line?
Q22:
Given that a linear function contains the points (2,3) and (0,6), find the slope of the function and state whether it is increasing or decreasing.
- A2, decreasing
- B3, decreasing
- C1.5, increasing
- D , decreasing
Q24:
Suppose that a line has direction vector . What, to the nearest second, is the measure of the positive angle that this line makes with the positive -axis?
- A
- B
- C
- D