(y -y1)=(x -x1)(y2 -y1)/(x2 -x1) defines the line containing coordinates (x1,y1) and (x2.y2).
Substitute the coordinates of the point into the equation of the line. If the equation is still valid then the point is on the line; if not then it is not.
True.
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
The standard equation for a straight line is y = mx + c. Let this be the equation of the original line. Note that m and c are known values. Let the given point coordinates be (a,b)Two straight lines are perpendicular if the product of their gradients (slopes) is -1.The slope (m1) of the perpendicular line is therefore m1 = -1/mWhen y = b then x = a so the equation for the perpendicular line is y = m1x + d, and substituting gives : b = -a/m + d and this will enable d to be calculated.NOTE : In the absence of information for the equation of the original line and the coordinates of the given point then this is a general rather than a specific answer.
If point a has coordinates (x1,y1), and point b has coordinates (x2, y2), then the slope of the line is given by the formula: m = (y2-y1)/(x2-x1).
Subtract the equation of one line from the equation of the other
Substitute the coordinates of the point into the equation of the line. If the equation is still valid then the point is on the line; if not then it is not.
By substitution
if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form
Yes, I'm confident of that.
Improved Answer:Find the equation of the line that is given.Check to see if the coordinates of the point satisfy the equation of the line.-411LeonOld Answer:Don't ask us!!
The x and y coordinates
Substitute the x coordinate into the equation for x and calculate y. If the formla gives the same y value as the coordinates, the point is on the line. If it is diffent, it is not on the line.
Substitute the coordinates of the point into the equation of the line. If the result is true, then the point is on the line.
True.
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
The given co-ordinates are invalid and so therefore not capable of forming a straight line equation.