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).