Question

A line passes through point (-8,-2) and has a slope of -3/2.write an equation in Ax+By=C from for this line.Use integers for A,B,C.

Answer 1

`3x+2y=-28`

Step-by-step explanation

A linear equation can be written in the following form:

`y=mx+b`

where m is the slope and b the y-intercept.

As we are already given the slope, then we get the equation:

`y=-(3)/(2)x+b`

Replacing the point given we can calculate b:

`-2=-(3)/(2)(-8)+b`
`b=-2-12=-14`

Then the equation is:

`y=-(3)/(2)x-14`

Then, we would have to get the form Ax+By=C , however, as we do not want fractions, we have to multiply the equation times two:

`2y=-3x-28`

Rearranging the function we get:

`3x+2y=-28`