Question

Find the equation of the median of the triangle, formed by the line 8x+5y = 40 with the coordinate axes. Given that the median is passing through the origin.

(1) 5x - 8y = 0

(2) 5x + 8y = 0

(3) 8x - 5y = 0

(4) 8x + 5y = 0

Answer 1

Step-by-step explanation:

How do I calculate the area of a triangle formed by the x-axis, the y-axis and the line 3x-y-6=0?

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The x and y axes automatically become the height and base of the triangle. The diagonal line 3x - y - 6 = 0 will determine what lengths they have.

To do this, we need to put it in y = mx + b format:

3x−y−6=0

3x−y=6

−y=6−3x

y=3x−6

It crosses the y -axis at:

y=3x−6

y=3(0)−6

y=0−6

x = 2

(0, -6)

It crosses the x-axis at:

y=3x−6

0=3x−6

6=3x

x = 2

(2, 0)

So we have a triangle with a base of 2 units and a height of | - 6| = 6 units. We can now find the area:

A=12bh

A=12(2)(6)

A=6 square units