# Worksheet: Slope of a Line through Two Points

In this worksheet, we will practice finding the slope of a line that goes through two given points.

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:

Determine the slope of the line that passes through the points and .

• A
• B5
• C
• D
• E

Q3:

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

Q4:

In this figure, the slope of is . • Anegative
• Bpositive
• Cundefined
• Dzero

Q5:

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

• A,
• B,
• C,
• D,
• E,

Q6:

is a right-angled triangle at where and the coordinates of and are and respectively. Find the coordinates of given the slope of is .

• A
• B
• C
• D
• E

Q7:

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

Q8:

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

• Atrue
• Bfalse

Q9:

Which of the following characteristics does the line that passes through the points , , and have?

• Aa positive slope and a positive -intercept
• Ba negative slope and a positive -intercept
• Ca positive slope and a negative -intercept
• Da negative slope and a negative -intercept

Q10:

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

Q11:

is parallel to the -axis. If the coordinates of the points and are and , respectively, find the value of .

Q12:

Find the value of such that the straight line passing through and is perpendicular to the -axis.

Q13:

Given that the straight line passing through the points and is parallel to the -axis, find the value of .

Q14:

is parallel to the -axis. If the coordinates of the point and are and , respectively, find the value of .

Q15:

In this figure, the slope of is . • Azero
• Bundefined
• Cpositive
• Dnegative

Q16:

In this figure, the slope of is . • Anegative
• Bpositive
• Cundefined
• Dzero

Q17:

In this figure, the slope of is . • Anegative
• Bzero
• Cpositive
• Dundefined

Q18:

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

• A4
• B3
• C
• D
• E

Q19:

If a line has a positive slope, what can be said of the angle it makes with the positive -axis?

• AIt is a right angle.
• BIt is a zero angle.
• CIt is an obtuse angle.
• DIt is an acute angle.

Q20:

What can be said of the slope of a line that is parallel to the -axis?

• AIt is 1.
• BIt is undefined.
• CIt is 0.
• DIt is .

Q21:

Consider the two points and .

Find an expression for the slope of the line on and .

• A
• B
• C
• D
• E

Find the slope of the line segment connecting the points and . Give your answer as a fraction in its simplest form.

• A
• B
• C
• D
• E

Q22:

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

Q23:

What is the slope of the line passing through and ?

Q24:

Find the slope of the straight line which passes through the points and .

• A
• B2
• C
• D
• E

Q25:

Given that the points and lie on a line that has a slope of 1, determine the value of .