Examples with solutions for Linear Function y=mx+b: Calculate the slope from two points

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

The line passes through the points (6,19),(12,20) (6,19),(12,20)

Video Solution

Answer

m=16 m=\frac{1}{6}

Exercise #4

The line passes through the points (0,0),(5,5) (0,0),(5,-5)

Video Solution

Answer

m=1 m=-1

Exercise #5

The line passes through the points (3,6),(10,20) (3,6),(10,20)

Video Solution

Answer

m=2 m=2

Exercise #6

The line passes through the points (2,4),(2,4) (-2,-4),(2,4)

Video Solution

Answer

m=2 m=2

Exercise #7

The line passes through the points (2,2),(9,16) (2,2),(9,16)

Video Solution

Answer

m=2 m=2

Exercise #8

The line passes through the points (3,7),(6,14) (3,7),(6,14)

Video Solution

Answer

m=213 m=2\frac{1}{3}

Exercise #9

The line passes through the points (5,7),(1,3) (5,7),(1,3)

Video Solution

Answer

m=1 m=1

Exercise #10

The line passes through the points (5,10),(0,0) (-5,10),(0,0)

Video Solution

Answer

m=2 m=-2

Exercise #11

The line passes through the points (2,3),(0,1) (-2,3),(0,1)

Video Solution

Answer

m=1 m=-1

Exercise #12

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 #13

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 #14

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 #15

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 #16

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}