Answer:
[tex]y+4=-(x-5)[/tex]
Step-by-step explanation:
Point-slope form equation is written as:
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point which the line passes through so to to find the equation of line which passes through the point
(5 , -4) it means the point should satisfy the equation which furthermore means that the point lies on the lie so we can replace y1 with -4 and x1 with 5 and since we have m = -1 we can thus find b and rewrite the equation like this:
[tex]y-y_1=m(x-x1)\\y-(-4)=-1(x-5)\\y+4=-x+5[/tex]
since we need it point-slope form we leave it like this
[tex]y+4=-(x-5)[/tex]
