What is the point-slopeformequation of a line. Learn how to find it in three easy steps, graph it with examples, and determine the equation when given two points.
Learn how to write linearequations in standard form when given the slope and one point on the line. Start by writing the equation in point-slopeform before converting it to standard form.
The pointslopeform of a straight line in geometry is used to represent the equation of a straight line using its slope 'm' and a point (x, y) that lies on the given line.
Given two points, you can write an equation in point-slopeform: Note that in the example above, we can write the equation in point-slopeform using either of the two known points. We need both points in order to calculate the slope, but only one of the points to write the linearequation.
So, What is Point-SlopeForm? Point-slopeform is y - y1 = m (x - x1), where (x1 and y1) are the coordinates of a point on the line, and m is the slope of the line.
To write an equation in point-slopeform, you need two things: Begin by finding the slope. Instead of trying to find b (the y intercept), you will use the point-slope formula. It doesn't matter which point you use. You could also use the other ordered pair to write the equation: