Write an equation in point-slope form for the line through the given point with the given slope. (-3,-5);m=-2/5
A.y+5=-2/5(x+3)
B.y+5=(-2/5)x-3
C.y-5=-2/5(x+3)
D.y-5=-2/5(x-3)
my answer is b
To write the equation of a line in point-slope form, you need the coordinates of a point on the line and the slope of the line.
Given that the point is (-3,-5) and the slope is -2/5, we can use the point-slope form equation:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the slope.
Plugging in the values, we get:
y - (-5) = (-2/5)(x - (-3))
Simplifying further:
y + 5 = (-2/5)(x + 3)
Now, let's compare the equation we derived with the options given:
A. y + 5 = -2/5(x + 3)
B. y + 5 = -2/5x - 3
C. y - 5 = -2/5(x + 3)
D. y - 5 = -2/5(x - 3)
As we can see, the correct answer is A, not B as you mentioned. The equation matches with the one we derived.