To write the equation in point-slope form, we start with the given equation:
y - 6 = -1/5(x + 2). let's simplify the equation:
y - 6 = -1/5x - 2/5
To put it in point-slope form, we can rewrite it as:
y = -1/5x - 2/5 + 6
Simplifying further:
y = -1/5x + 28/5
So, the equation in point-slope form is y = -1/5x + 28/5.