Question

Fine the equation of m= -5 (-1,3)

Answer 1

The required equation to the given slope m=-5 and a point (-1,3) is 5x+y+2=0

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
`(x_1,y_1)` be the given point (-1,3)

The slope point formula is
`y-y_1=m(x-x_1)`

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