Answer:
The answer is
[tex]y = - \frac{1}{2} x + 2[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (6 , - 1) and slope - 1/2
So we have
[tex]y + 1 = - \frac{1}{2} (x - 6) \\ y + 1 = - \frac{1}{2} x + 3 \\ y = - \frac{1}{2} x + 3 - 1 \\[/tex]
We have the final answer as
[tex]y = - \frac{1}{2} x + 2 \\ [/tex]
Hope this helps you
