Answer:
y=-3x-7
Explanation:
the line is currently in standard form (ax+by=c). Let's put it into slope-intercept form (y=mx+b)
-x+3y=9
add x to both sides
3y=x+9
divide by 3
y=1/3x+3
perpendicular lines have slopes that when multiplied, equal -1.
to find the slope (m) of our new line:
1/3m=-1
multiply by 3
m=-3
the slope of the new line is -3
here's our equation so far:
y=-3x+b
we need to find b (y intecept)
since the line passes through the point (-3,2), it should be a solution in the equation (plug it in, and the result is a true statement). We can also use it to find b
so, substitute the pointt into the equation:
2=-3(-3)+b
multiply
2=9+b
subtract
-7=b
so the equation of the line is y=-3x-7
Hope this helps!