Equation in slope intercept form :
[tex]y = \frac{1}{2} x + 7\frac{1}{2} [/tex]
Slope = ½
Step-by-step explanation:
[tex]y - 6 = \frac{1}{2} (x + 3)[/tex]
Expand
[tex]y - 6 = \frac{1}{2} x + \frac{3}{2} [/tex]
Collect like terms and simplify
[tex]y = \frac{1}{2} x + \frac{3}{2} + 6[/tex]
[tex]y = \frac{1}{2} x + \frac{15}{2} [/tex]
Slope = ½