Question

Helppppp im tired and I cant even think no moreee​

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, with the given slope passes through the given point.

Slope m = -4

Point: (-2,-9)

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

The slope of line is given m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, we can find y-intercept

The formula used will be:
`y=mx-b`

Putting values of: y= -9, x =-2 and m = -4

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

So, y-intercept b = -17

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

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

Writing equation in required form i.e. 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}`