Answer:
The slope intercept form is [tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Given : Equation [tex]y+3=\frac{1}{2}(x-4)[/tex]
To find : Rewrite the equation in slope-intercept form ?
Solution :
The slope-intercept form is [tex]y=mx+c[/tex]
Equation [tex]y+3=\frac{1}{2}(x-4)[/tex]
[tex]y+3=\frac{1}{2}x-\frac{1}{2}\times 4[/tex]
[tex]y+3=\frac{1}{2}x-2[/tex]
[tex]y=\frac{1}{2}x-2-3[/tex]
[tex]y=\frac{1}{2}x-5[/tex]
Therefore, the slope intercept form is [tex]y=\frac{1}{2}x-5[/tex]