Answer:
[tex]y=-x+3[/tex]
Step-by-step explanation:
we have
[tex]y+4=-(x-7)[/tex]
This is the equation of the line in point slope form
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
Convert the equation to slope intercept form
remove the parenthesis right side
[tex]y+4=-x+7[/tex]
subtract 4 both sides
[tex]y+4-4=-x+7-4[/tex]
[tex]y=-x+3[/tex] ---> equation in slope intercept form