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 a
if the point is (a,b) and the slope is m
then the equation is
y - b = m(x - a)
now which one of the given answers follows that pattern?
is the answer B
no , B does not have the necessary brackets
is the answer c
no
Why do you think it is C or are you just guessing?
To write an equation in point-slope form, we need the coordinates of a point on the line and the slope of the line.
Given:
Point: (-3, -5)
Slope: m = -2/5
The point-slope form of a linear equation is given by the formula:
(y - y1) = m(x - x1)
Now, we can substitute the values into the formula:
(y - (-5)) = (-2/5)(x - (-3))
Simplifying the equation gives:
y + 5 = (-2/5)(x + 3)
Therefore, the correct equation in point-slope form for the line passing through the point (-3, -5) with a slope of -2/5 is:
A. y + 5 = (-2/5)(x + 3)