Question

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Answer 1

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

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}`.