# Worksheet: Point-Slope Form

Q1:

Line 1 passes through point and point and Line 2 passes through the points and . Which of the two lines has a steeper slope?

• Aline 1
• Bline 2

Q2:

Which line has a slope that is greater than 1?

• A b
• B a
• C c

Q3:

What is the slope of a line passing through the points and ?

Q4:

is a right 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

Q5:

True or False: Given a non vertical line, the slopes between any two of its points will be equal.

• Atrue
• Bfalse

Q6:

In the square with and , the diagonals are and . What is the gradient of ?

• A6
• B
• C0
• D1

Q7:

What is the value of so that , , and are collinear?

Q8:

What is the value of so that , , and are collinear?

Q9:

What is the value of so that , , and are collinear?

Q10:

Given that the gradient of a straight line passing through the points and is , find the value of .

• A5
• B2
• C
• D

Q11:

Determine the gradient of the straight line that makes an angle whose cosine is with the positive -axis.

• A
• B
• C
• D

Q12:

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

Q13:

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

Q14:

What is the value of in the graph if the slope is equal to 0.7? Give your answer correct to two decimal places.

Q15:

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

Q16:

In the figure below, find the gradient of the line , and approximate the result to the nearest hundredth, if needed.

• A0.87
• B1.15
• C0.75
• D
• E

Q17:

If is a parallelogram, where and , find the gradient of .

• A
• B
• C
• D

Q18:

Given that is right triangle at and that the coordinates of and are and , respectively, determine the slope of .

• A
• B
• C0
• D

Q19:

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

Q20:

In this figure, the slope of is .

• Aundefined
• Bzero
• Cpositive
• Dnegative

Q21:

Given that the gradient of the line passing through , , and is , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q22:

Find the gradient of the straight line whose equation is and passes through the point .

• A
• B
• C
• D

Q23:

Find the gradient of the given straight line.

• A
• B
• C7
• D
• E1