Question

What rule would you allow to test weather (x,y) is on line l

Answer 1

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 = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{10-5}{8-4}$

m = $\frac{5}{4}$

Equation of the line passing through C(4, 5) and slope m = $\frac{5}{4}$

y - y' = m(x - x')

y - 5 = $\frac{5}{4}(x-4)$

y = $\frac{5}{4}x-5+5$

y = $\frac{5}{4}x$

If point B(4, 0) lies on the line CD,

0 = $\frac{5}{4}(4)$

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.