Examples with solutions for Graphical Representation: Using additional geometric shapes

Exercise #1

Calculate the slope of the line that forms a right triangle with the axis x and the axis y and passes through the points (5,0),(0,5) (5,0),\lparen0,-5) .

Video Solution

Answer

1

Exercise #2

Calculate the slope of the line that creates a right triangle with the x and y axes and passes through the points B(5,0),A(0,10) B(5,0),A\lparen0,10) .

Video Solution

Answer

2 -2

Exercise #3

Two straight lines are drawn with the x axis and the y triangle axis.

The first line passes through the points (4,0),(0,2) (4,0),(0,2)

The second line passes through the points (0,6),(4,0) (0,-6),(4,0)

Find the slope of each line.

Video Solution

Answer

32=II , -12=I \frac{3}{2}=II\text{ , -}\frac{1}{2}=I

Exercise #4

A straight line is drawn between the y axis and the straight line y=2 y=-2 to create a triangle.


The line passes through the points B(5,2),A(0,0) B(5,-2),A\lparen0,0) .

Calculate the slope of the line.

Video Solution

Answer

25 -\frac{2}{5}

Exercise #5

A straight line is a diagonal squared.

The line passes through the points (8,3),(2,7) (8,3),(2,7) .

Choose the equation that corresponds to the line.

Video Solution

Answer

y=23x+813 y=-\frac{2}{3}x+8\frac{1}{3}

Exercise #6

A straight line is drawn forming a triangle with the x and y axes.

The line passes through the points (0,6),(4,0) (0,-6),(4,0) .

Choose the equation that represents the line.

Video Solution

Answer

y=32x6 y=\frac{3}{2}x-6