Write an equation in point slope form for the line through the given point with the given slope (-3,-5);m=-2/5

Options
Y+5=-2/5(x+3)
Y+5=(-2/5)x-3
Y-5=-2/5(x+3)
Y-5=-2/5(x-3)
Help please I believe the answer would be b?

(y+5)/(x+3) = -2/5

y+5 = (-2/5)(x+3)

y + 5 = -2/5 (x + 3)

I agree that is probably what they want but I could see it as

y+5 = -2/ [5(x+3)]
which is wrong so I was reluctant to pick one of the listed answers

Damon scott

Thanks can u help with another please

To write the equation of a line in point-slope form, you need two pieces of information: the slope of the line (m) and a point it passes through (x₁, y₁).

In this case, the given point is (-3, -5), and the slope is -2/5. Now, let's write the equation using point-slope form:

y - y₁ = m(x - x₁)

Substituting the values, we can write:

y - (-5) = (-2/5)(x - (-3))

Simplifying:

y + 5 = (-2/5)(x + 3)

Therefore, the correct equation in point-slope form for the line passing through the given point with the given slope is:

y + 5 = (-2/5)(x + 3)

So, the correct option is (a).