Question

draw the graphs of the equation x-y+1=0 and 3x+2y-12=0 . determine the coordinates of vertices of the triangles formed by these lines and (i) x-axis (ii) y-axis. shade the triangular regions with different colours and find areas ​

Answer 1

Answer:

draw the graphs of the equation x-y+1=0 and 3x+2y-12=0 . determine the coordinates of vertices of the triangles formed by these lines and (i) x-axis (ii) y-axis. shade the triangular regions with different colours and find areas draw the graphs of the equation x-y+1=0 and 3x+2y-12=0 . determine the coordinates of vertices of the triangles formed by these lines and (i) x-axis (ii) y-axis. shade the triangular regions with different colours and find areas

Answer 2

Answer:

Write the equation x-y=1 as

y = x - 1

and the equation 2x+y=8 as

y = -2x + 8

Choose any two value of x and use them to calculate the values of x.

Plot these points for both lines and join them using a straight line.

See the attached image

The two lines and the y-axis for a triangle with base = 9 units and height = 3 units

Area of triangle = 1/2 base x eight

= 1/2 x 9 x 3

= 13.5 sq. units