Question

What’s the equation of the line

Answer 1

`y = - (1)/(3)x + 5`

Explanation:

Consider two points through which the line passes.

Let it be ( 0 , 5 ) and ( 6 , 3 )

Step 1 : Find slope

`Slope, m = (y_2 - y_ 1 )/(x_2 - x_1)`

`= (3-5)/(6-0) \\\\=(-2)/(6)\\\\= -(1)/(3)`

Step 2 : Find the equation of the line passing through the points.

`( y - y_1) = m (x - x_1)\\\\(y - 5) = -(1)/(3) ( x - 0) \\\\y = -(1)/(3)x + 5`