Question

Write an equation of a line whose slope = -2 and passes through the point (5,1)

Answer 1

2x + y - 11 = 0

Explanation:

When the slope of a line and a point passing through a point are given, we use slope and one point formula to determine the equation of the line.

The equation of the line is given by:

`$ (y - y_1) = m (x - x_1) $`

where
`$m$` is the slope of the line and

`$ (x_1,y_1) $` is the point passing through it.

Substituting we get:
`$ y - 1 = -2 (x - 5)$`

`$ \implies y  - 1 = - 2x + 10 $`

On rearranging and simplifying we get
`$ 2x + y - 11 = 0 $`