Question

a point P on the y-axis divides the line segment joining the points (4,5) and (-3,3) in a certain ratio . find the coordinates of the point P​​

Answer 1

Answer:

P(0, 27/7)

Step-by-step explanation:

P is y-intercept of the given line segment and y axis.

y = mx + b, m is slope and b is y-intercept.

m = ($y_{2}$ - $y_{1}$) / ($x_{2}$ - $x_{1}$)

y - $y_{1}$ = m(x - $x_{1}$)

~~~~~~~~~

m = $\frac{3-5}{-3-4}$ = $\frac{2}{7}$

y - 5 =  $\frac{2}{7}$ (x - 4)

y =  $\frac{2}{7}$ x + $\frac{27}{7}$

P (0, $\frac{27}{7}$ )