What is the equation of the line with slope # m= -6 # that passes through # (-11,3) #?

Answer 1

# y = -6 x -63 #

The standard equation of a line is # y = m x + c #, so we get # y = -6 x + c #.
Now, since the line passes through the point, the point has to satisfy the equation of the line. Substitute # (-11,3) # in the equation to get: # 3 = -6 (-11) + c => c = -63 #.
Thus, the equation of the line becomes # y = -6 x -63 #.
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Answer 2

#6x+y+63=0#

SUPPOSE, THE EQUATION OF THE STRAIGHT LINE IS, #y=mx+c# where #c # is unknown. now, in the problem, #m=-6# and the line goes through #(-11,3)# point. now, by passing the equation of the straight line through #(-11,3)# point and putting #m=-6# in the equation, we get, #3=(-6)(-11)+c# #or,3=66+c# #or,c=3-66# #or,c=-63# now, by putting #m=-6# and #c=-63# in the first equation, we will get the equation of the straight line. so, the equation of the straight line is, #y=-6x-63# #or,6x+y+63=0#
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Answer 3

The equation of the line with slope (m = -6) that passes through the point ((-11, 3)) can be found using the point-slope form: (y - y_1 = m(x - x_1)). Substitute (m = -6) and the coordinates of the point ((-11, 3)) into the formula to find the equation of the line. This yields (y - 3 = -6(x + 11)), which simplifies to (y = -6x - 63).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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