Respuesta :

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]