Given points a(-3,-4) and b(2,0), point p(-1, -12/5) partitions ab in the ratio

Step-by-step explanation:

Given

A=(-3,4)

B=(2,0)

Co-ordinates of Point P

Let say P divides AB in ratio of k:1

x co-ordinate of P is also given by

i think this could be a possible answer (1 / 84) -1

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b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b