Question

Write a rule that would allow you to test whether (x,y) is on line ℓ.

Answer 1

Answer:

We have a line L.

Remember that in two dimensions, we can write a line as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

And then using one of these points, we can find the value of b.

Then wen we got the equation for the line:

y = a*x + b

We can input a point (x, y)

And see if the equality is true, then the point belongs to the line L.