Answer:
y = -2x - 3
Step-by-step explanation:
Slope intercept form of line is
y = mx + c
where
m is the slope and c is the y intercept
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Given that line
y = −2x − 4
comparing it with y = mx + c
m = -2 and c = -4
Thus, slope of this line is -2
we also know that when two lines are parallel then their slopes are same
thus, slope of required line will be m = -2
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now let the equation of line passing through (-1,-1) be
y = mx + c
we have found m to be -2
using this in above equation we have
y = -2x + c
since (-1,-1) passes through the above line using x = -1 and y = -1
we have
-1 = -2*-1 + c
-1 = 2 + c
c = -1 - 2 = -3
using c = -3 in y = -2x + c
we have
equation of line as
y = -2x - 3 in slope intercept form.
