1 Answer

Yamass · Answer 1 · 2019-05-09T01:18:58+0000

The slope intercept form:
y=mx+b

m - a slope

We have:

6x+3y=-9 |subtract 6x from both sides

3y=-6x-9 |divide both sides by 3

y=-2x-3

$k:\ y=m_1x+b_1\\l:\ y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1$

$k:\ y=-2x-3\to m_1=-2\\l:\ y=mx+b\to m_2=m$

substitute

-2m=-1 |divide both sides by (-2)

$\boxed{m=0.5}$

Answer: The slope of a line perpendicular to 6x + 3y = -9 is equal 0.5.

Please log in or register to add a comment.