Answer:
The equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]
Step-by-step 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: [tex]y=mx-b[/tex]
Putting values of: y= -9, x =-2 and m = -4
[tex]y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17[/tex]
So, y-intercept b = -17
Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:
[tex]y=mx+b\\y=-4x-17[/tex]
Writing equation in required form i.e. of Ax + By = C
[tex]y=-4x-17\\4x+y=-17[/tex]
So, the equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]
