Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
m = ![\frac{10-5}{8-4}](https://tex.z-dn.net/?f=%5Cfrac%7B10-5%7D%7B8-4%7D)
m = ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
Equation of the line passing through C(4, 5) and slope m = ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
y - y' = m(x - x')
y - 5 = ![\frac{5}{4}(x-4)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%28x-4%29)
y = ![\frac{5}{4}x-5+5](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7Dx-5%2B5)
y = ![\frac{5}{4}x](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7Dx)
If point B(4, 0) lies on the line CD,
0 = ![\frac{5}{4}(4)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%284%29)
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.