Examples with solutions for Linear Function y=mx+b: Using slope for geometric problems

Exercise #1

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 #2

Find the slope of the line I I

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

Video Solution

Answer

m=2 m=2

Exercise #3

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 #4

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 #5

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 #6

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 #7

ABCD is a square.

Calculate the slope of line AD.

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

Video Solution

Answer

m=212 m=2\frac{1}{2}

Exercise #8

ABCD is a square.

Calculate the slope of the line BC.

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

Video Solution

Answer

m=212 m=2\frac{1}{2}

Exercise #9

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}

Exercise #10

ABCD is a Square.

Calculate the slope of line AB.

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

Video Solution

Answer

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

Exercise #11

In the drawing of the graph of the linear function passing through the points A(1,7) A(1,7) y D(8,2) D(8,2)

Find the slope of the graph.

A(1,7)A(1,7)A(1,7)CCCD(8,2)D(8,2)D(8,2)BBBxy

Video Solution

Answer

57 -\frac{5}{7}