Question

Draw the graph of the equations x/4+y/5=1 also find the area of the triangle formed by the line and the coordinate axes
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Answer 1

Step-by-step explanation:

Given:

$\frac{x}{4} + \frac{y}{5} = 1$

To find:Draw the graph of the equations x/4+y/5=1 also find the area of the triangle formed by the line and the coordinate axes.

Solution:

The line is in the form of intercept form

$\bold{\red{\frac{x}{a} + \frac{y}{b} = 1}}$

here

x-intercept is (a,0)

y-intercept is (0,b)

On comparison with the standard equation

x/4+y/5=1

x-intercept is (4,0),Let it is A

y-intercept is (0,5),Let it is B

Mark these points on graph and draw a line.

See attachment.

Mark origin(0,0)

let say it is C.

We know that Coordinates axis meets at 90°.

Thus,

ABC is a right triangle,right angle at C.

Area of triangle = 1/2.Base.height

Area of ∆ABC=1/2 .AC.BC

Area of ∆ABC=1/2×4×5

Area of ∆ABC =10 unit².

Final answer:

Area of ∆ABC =10 unit².

Hope it helps you.

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