Write various of the equation of a line that passes through (-6, 3) and has a slope of - 1/3

part 1: write the equation in point slope form

part 2: rewrite the equation in slope intercept form

part 3: rewrite the equation in a standard form

Step-by-step explanation:

The point-slope form of an equation of a line:

m - slope

We have

Substitute:

Convert to the slope-intercept form

          use the distributive property

          add 3 to both sides

Convert to the standard form

          multiply both sides by 3

            add x to both sides

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3