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

Answer: Y= 1/2x -6

Step-by-step explanation: I did the test on FLVS

Answer 2

Answer:

$y = \frac{1}{2}x - 6$

Step-by-step 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, $x_{1}\ and\ y_{1}$

$(y - (3)) = \frac{1}{2}(x - 6)$

$y + 3 = \frac{1}{2} ( x - 6)$

$y = \frac{1}{2}x - 3 - 3$

$y = \frac{1}{2}x - 6$

Therefore, the equation of line passing through pong (6, -3) is $y = \frac{1}{2}x - 6$