Question

Draw the graph of the equation 3x - 5y - 15 = 0. Find the points where its grap
intersects x - axis and y - axis and also find the area bounded by the region of
axis and the straight line.​

Answer 1

Given : equation 3x - 5y – 15 = 0

To Find :  the points where its graph  intersects x-axis and y- axis

the area bounded by the region of  axis and the straight line​

Solution:

3x - 5y – 15 = 0.

x = 0

=> 0 - 5y - 15 = 0

=> 5y = - 15

=> y = - 3

Cut y axis at - 3

y = 0

=> 3x - 0 - 15 = 0

=> 3x = 15

=> x = 5

cut x axis at 5

plot point ( 5 , 0)  and ( 0 , - 3) and draw a line passing through them

area bounded by the region of  axis and the straight line​

= (1/2) * 5 * 3

= 15/2  sq unit

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