Examples with solutions for Slope: Calculate the slope from two points

Exercise #1

Given the linear function:

y=102x y=10-2x

What is the rate of change of the function?

Video Solution

Answer

m=2 m=-2

Exercise #2

Given the linear function:

y=6x y=-6x

What is the rate of change of the function?

Video Solution

Answer

m=6 m=-6

Exercise #3

Given the linear function:

y=2x+1 y=-2x+1

What is the rate of change of the function?

Video Solution

Answer

m=2 m=-2

Exercise #4

Given the linear function:

y=14x+13 y=14x+13

What is the rate of change of the function?

Video Solution

Answer

m=14 m=14

Exercise #5

Given the linear function:

y=14+5x y=14+5x

What is the rate of change of the function?

Video Solution

Answer

m=5 m=5

Exercise #6

Given the linear function:

y=73x y=7-3x

What is the rate of change of the function?

Video Solution

Answer

m=3 m=-3

Exercise #7

Given the linear function:

y=16+16x y=16+16x

What is the rate of change of the function?

Video Solution

Answer

m=16 m=16

Exercise #8

Find the slope of the line I I

III(2,5)(10,1)XY

Video Solution

Answer

m=2 m=2

Exercise #9

In the drawing of the graph of the linear function passing through the points A(0,7) A(0,7) and
B(8,3) B(8,-3)

Find the slope of the graph.

A(0,7)A(0,7)A(0,7)B(8,-3)B(8,-3)B(8,-3)CCCxy

Video Solution

Answer

54 -\frac{5}{4}

Exercise #10

In the drawing of the graph of the linear function passing through the points A(2,10) A(2,10) y B(5,4) B(-5,-4)

Find the slope of the graph.

A(2,10)A(2,10)A(2,10)CCCB(-5,-4)B(-5,-4)B(-5,-4)xy

Video Solution

Answer

2 2

Exercise #11

In the drawing of the graph of the linear function passing through the points A(3,2) A(-3,2) y B(3,2) B(3,2)

Find the slope of the graph.

A(-3,2)A(-3,2)A(-3,2)B(3,2)B(3,2)B(3,2)CCCDDDxy

Video Solution

Answer

0

Exercise #12

In the drawing of the graph of the linear function passing through the points A(0,10) A(0,-10) y B(4,1) B(4,1)

Find the slope of the graph.

A(0,-10)A(0,-10)A(0,-10)CCCB(4,1)B(4,1)B(4,1)xy

Video Solution

Answer

234 2\frac{3}{4}

Exercise #13

In the drawing of the graph of the linear function passing through the points A(0,7) A(0,7) y B(4,9) B(-4,-9)

Find the slope of the graph.

A(0,7)A(0,7)A(0,7)CCCxyB(-4, -9)

Video Solution

Answer

4 4

Exercise #14

ABCD is a square.

Calculate the slope of the line DC.

A(0,10)A(0,10)A(0,10)BBBCCCDDD(-2,5)

Video Solution

Answer

m=25 m=-\frac{2}{5}