The point-slope form is
[tex]y = mx + b[/tex]
m, the slope, is 1/2.
To find b, we plug in the point (6,-3) to the equation:
[tex]y = \frac{1}{2} x + b \\ ( - 3) = \frac{1}{2} (6) + b \\ - 3 = 3 + b \\ - 6 = b[/tex]
First, we multiply 1/2 × 6 = 3. Then we subtract 3 from both sides. We find that b is -6.
Therefore, the point-slope equation is:
[tex]y = \frac{1}{2} x - 6[/tex]
This is the second option.
