Question

Write the equation of a line whose slope is -2 and passes through (-1,6). Write the answer in slope-intercept form

Answer 1

the equation of a line in slope intercept form is y=mx+c
y=-2x+c
then substitute x=-1,y=6
6=-2+c
c=8
therefore y=-2x+8

Answer 2

Here x1 = -1 and y1 = 6 and m= -2 where m is slope

Equation of a line having a slope and passing through a point is giving by
y - y1 = m(x - x1)

y - 6 = -2 [ x - (-1) ]
y - 6 = -2 ( x +1 )
y - 6 = -2x - 2
2x + y = 6 - 2
2x+y=4
2x+y-4=0