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

Answer

$3x+2y=-28$

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:

$y=-\frac{3}{2}x+b$

Replacing the point given we can calculate b:

$-2=-\frac{3}{2}(-8)+b$$b=-2-12=-14$

Then the equation is:

$y=-\frac{3}{2}x-14$

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:

$3x+2y=-28$