Question

Draw the graph 2x + y = 4 and find the area of the triangle formed by the line with X-axis and y-axis.

Answer 1

The area of triangle is 4 square units.

Step-by-step explanation:

The given equation is

$2x+y=4$

Substitute x=0, to find the y-intercept.

$2(0)+y=4$

$y=4$

Substitute y=0, to find the x-intercept.

$2x+(0)=4$

$2x=4$

$x=2$

x-intercept is 2 and y-intercept is 4.

We need to find the area of the triangle formed by the line with X-axis and y-axis.

Base of the triangle = 2

Height of the triangle = 4

Area of triangle is

$A=\frac{1}{2}\times base\times height$

$A=\frac{1}{2}\times 2\times 4$

$A=4$

Therefore, the area of triangle is 4 square units.

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