slope m = (y2-y1)/(x2-x1)
( -7 - -1 )/( -1 - -4 )
( -6 / 3 )
m= -2
The required line passes through both the points. So we select one point and plug it with the slope
Plug value of the slope and point ( -4 , -1 ) in
Y = m x + b
-1.00 = -2 * -4 + b
-1.00 = 8 + b
b= -1 + -8
b= -9
So the equation will be
Y = -2 x -9
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