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:[tex]y = \frac{1}{2}x - 6[/tex]Step-by-step explanation:Slope of line (m) = 1/2Since the line is passing through the point (6, -3) ∴ [tex]x_{1} = 6\ and\ y_{1} = -3[/tex]Now, equation of line in Point-slope form is:[tex](y - y_{1}) = m (x - x_{1})[/tex]By substituting the values of m, [tex]x_{1}\ and\ y_{1}[/tex] [tex](y - (3)) = \frac{1}{2}(x - 6)[/tex][tex]y + 3 = \frac{1}{2} ( x - 6)[/tex][tex]y = \frac{1}{2}x - 3 - 3[/tex][tex]y = \frac{1}{2}x - 6[/tex]Therefore, the equation of line passing through pong (6, -3) is [tex]y = \frac{1}{2}x - 6[/tex]