Hi, For one part of my problem I have had to find the equation of a straight line that passes through two points, I have done this but now i need to determine whether a new point lies on this line by using the equation from the first part, how would I do this please. The equation is y=3x-1 and the point is (1,3).
To determine whether a given point lies on a line, you can substitute the coordinates of the point into the equation of the line and check if the equation holds true.
In this case, you have the equation of the line, y = 3x - 1, and the point (1,3). To check if this point lies on the line, you need to substitute the x and y values of the point into the equation and see if they satisfy the equation.
Substituting x = 1 and y = 3 into the equation, we get:
3 = 3(1) - 1
This simplifies to:
3 = 3 - 1
Which further simplifies to:
3 = 2
Since the equation does not hold true, the point (1,3) does not lie on the line y = 3x - 1.
To summarize, substitute the coordinates of the point into the equation of the line and check if the equation holds true. If the equation is true, then the point lies on the line. If the equation is false, then the point does not lie on the line.