Answer:
y + 32 = 3( x + 8 )
Explanation:
point slope form: y-y1 = m(x-x1)
first we need to find the rate of change or the slop. We find that by dividing the difference in the y values from the cordinates by the x values from the cordinates (y2-y1/x2-x1)
so, 1 -- 32 / 3 -- 8 = 1 + 32 / 3 + 8 = 33/11 = 3
m = 3
With this information we can plug the cordinate (-8,-32) into the point slope equation.
y -- 32 = 3( x -- 8)
=
y + 32 = 3( x + 8 ) <---- Answer
and if you ever want to turn this into standard slope form all you have to do is distribue three to 'x' and '8' then subtract 32 from both sides.
y = 3x - 8