Question

Choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half. y equals one half times x plus 6 y equals one half times x minus 6 y equals one half times x minus 3 y equals one half times x plus 3

Answer 1

`y = (1)/(2)x - 6`

Explanation:

Slope of line (m) = 1/2

Since the line is passing through the point (6, -3) ∴
`x_(1) = 6\ and\ y_(1) = -3`

Now, equation of line in Point-slope form is:

`(y - y_(1)) = m (x - x_(1))`

By substituting the values of m,
`x_(1)\ and\ y_(1)`

`(y - (3)) = (1)/(2)(x - 6)`

`y + 3 = (1)/(2) ( x - 6)`

`y = (1)/(2)x - 3 - 3`

`y = (1)/(2)x - 6`

Therefore, the equation of line passing through pong (6, -3) is
`y = (1)/(2)x - 6`