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.
What is the value of so that , , and are collinear?
Given that and are the direction vectors of two perpendicular straight lines, determine the value of .
In the square with and , the diagonals are and . What is the slope of ?
Determine the slope of the straight line that makes an angle whose cosine is with the positive -axis.
In the figure below, find the slope of the line , and round the result to the nearest hundredth.
If is a parallelogram, where and , find the slope of .
Given that is right angled at and that the coordinates of and are and , respectively, determine the slope of .
Find the slope of the straight line whose equation is and passes through the point .
In this figure, the slope of is .
Given that the slope of the line passing through , , and is , find the values of and .
- A ,
- B ,
- C ,
- D ,
- E ,
Find the slope of the given straight line.
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.
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
Which line has a slope that is greater than 1?
- A b
- B a
- C c
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
What is the value of in the graph if the slope is equal to 0.7? Give your answer correct to two decimal places.
A straight line has the equation . What is the slope of the line?
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
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?