Answer :
Answer:
The required equation to the given slope m=-5 and a point (-1,3) is 5x+y+2=0
Step-by-step explanation:
Given that the slope m=-5 and a point (-1,3)
Now we have to find an equation with the given slope and point :
Let [tex](x_1,y_1)[/tex] be the given point (-1,3)
The slope point formula is [tex]y-y_1=m(x-x_1)[/tex]
y-3=-5(x-(-1))
y-3=-5(x+1)
y-3=-5(x)-5(1) ( by using the distributive property a(x+y)=ax+ay here a=-5,x=x and y=1 )
y-3=-5x-5
y-3-(-5x-5)=-5x-5-(-5x-5) ( by using the distributive property a(x+y)=ax+ay here a=-1,x=-5x and y=-5)
y-3+5x+5=-5x-5+5x+5
y+2+5x=0
5x+y+2=0 which is the required equation