Find an equation for the line that passes through the points (5,-3) and (-1,-1)

y = -1/3x - 4/3

Step-by-step explanation:

y = mx + b

m = (y' -y) / (x'-x) = (-1 - (-3)) / (-1 -5) =  2 / -6 = - 1/3

b = -3 - (-1/3) × 5 = -3 + 5/3 = -4/3

check : b= -1 - (-1/3) ×(-1) = - 4/3

y = -1/3x - 4/3

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2