A line passes through the point $$ (-6,-6) $$ and has a slope of $$ -\frac{3}{2} $$. Write an equation in point-slope form for this line.

Question

UpStudy AI · Accepted Answer

To write the equation in point-slope form, we use the formula:

y − y₁ = m(x − x₁)

Given the point (x₁, y₁) = (-6, -6) and the slope m = -3/2, substitute these values into the formula:

y − (-6) = -3/2 (x − (-6))

This simplifies to:

y + 6 = -3/2 (x + 6)

This is the equation in point-slope form for the line.
The equation in point-slope form is $$ y + 6 = -\frac{3}{2}(x + 6) $$.

A line passes through the point \( (-6,-6) \) and has a slope of \( -\frac{3}{2} \). Write an equation in point-slope form for this line.