As its name suggests, point-slope form requires a point on and the slope of the line.To write the point-slope form for the line that passes through the points find the slope, then use either point to write the equation.
The next step is to choose one point on the line to use. If the line is given as a graph, find a point whose coordinates are easy to identify. In this case, two points are given. Either can be used. For simplicity, here, use
Now that the slope has been found and a point has been chosen, the equation of the line can be written by substituting the corresponding values. Here, substitute and
Write the equation for the line in point-slope form.
To write the equation of the line in point-slope form, we need the slope and a point.
Here, the run is and the rise is which gives a slope of
Next, any point on the line can be used for Let's use the same point as above,
Lastly, substitute the found values of and into Here, and will be substituted.
All points in the table lie on the same line.
Write the equation of the line in point-slope form.
To write an equation in the form the slope of the line, and any point on the line, must be known. We'll begin by finding the slope between consecutive points. It can be seen that the difference between each -value is
In the right column, we see that the difference between each value is