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klio [65]
3 years ago
5

HELPPPPPPPPPPPPPPPPPP​

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

The equation of line in the form of Ax + By = C is: \mathbf{4x+y=-17}

Step-by-step explanation:

We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)

First we need to find slope and y-intercept of the line.

The slope is given i.e. m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, y-intercept can be found using:

y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

y=mx+b\\y=-4x-17

Now writing in form of Ax + By = C

y=-4x-17\\4x+y=-17

So, the equation of line in the form of Ax + By = C is: \mathbf{4x+y=-17}.

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