Question

what is the equation of the line that passes through the point (-2,-6) and has a slope of -1/2

Answer 1

Answer:

x + 2y+14 =0

Step-by-step explanation:

Equation of a line having slope m and passing through ( a,b) is y - a = m (x - b)

Therefore the required Equation is

y - (-6) = (-1/2) ( x - (-2))

y + 6 = (-1/2)(x + 2)

2y + 12 = -x-2

x + 2y+ 14=0

Answer 2

y=mx + c

m=-1\2

y=-1\2x + c

c is y intercept

-6=(-1\2×-2)+c

-6=-1+c

-6+1=c

-5=c

y=-1\2x-c