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In this lesson, we will learn how to find the slope from two points or a graph of a function and determine whether the slope is positive, negative, zero, or undefined.

Q1:

What is the slope of the line passing through the points ( 2 , β 2 ) and ( 4 , 8 ) ?

Q2:

The graph shows the capital of a company over 8 years. Determine the slope of the line which represents the increase in capital in the first three years.

Q3:

Consider the four points π΄ ( 1 , 2 ) , π΅ ( 6 , 0 ) , πΆ ( β 1 , β 2 ) , and π· ( 3 , β 4 ) .

Work out the slope of the line β ο© ο© ο© ο© β π΄ π΅ .

Work out the slope of the line β ο© ο© ο© ο© β πΆ π· .

Are the two lines parallel?

Q4:

Line πΏ passes through points ( β 1 , 2 ) and ( 2 , 3 ) , and line π passes through points ( β 1 , β 1 ) and ( 5 , 1 ) .

Work out the slope of line πΏ .

Work out the slope of line π .

Q5:

What is the slope of the line passing through the points οΌ 2 , 2 3 ο and ( 6 , 2 ) ?

Q6:

Calculate the slope of the line in the graph.

Q7:

What is the slope of the line in the given graph?

Q8:

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

Q9:

In this figure, the slope of β ο© ο© ο© ο© β π΄ πΆ is .

Q10:

Consider the two points π΄ ( π₯ , π¦ ) ο§ ο§ and π΅ ( π₯ , π¦ ) ο¨ ο¨ .

Find an expression for the slope of the line on π΄ and π΅ .

Find the slope of the line segment connecting the points ( 3 , 4 ) and ( 5 , 7 ) . Give your answer as a fraction in its simplest form.

Q11:

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

Q12:

In this figure, the slope of β ο© ο© ο© ο© ο© β π΄ π is .

Q13:

In this figure, the slope of β ο© ο© ο© ο© β π΅ πΆ is .

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