Point-slope form

The  exercise appears under the Algebra I Math Mission. This exercise encourages comfort with the point-slope form of a line.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find equation from function values: This problem provides two functional values to a linear function. The student is asked to find the equation of the line in point-slope form.Psf1.png
 * 2) Find equation from points: This problem provides two points that lie on a linear function. The student is asked to find the equation of the line in point-slope form.Psf2.png

Strategies
Knowledge of the formula to find slope and the general form of point-slope would ensure success on this exercise.
 * 1) The point-slope form of a line is y-y1=m(x-x1)
 * 2) The slope is rise over run and is represented by m in the equation above.
 * 3) Either point works for (x1,y1) so one may use whatever is most convenient.
 * 4) Replace numbers identically (with negative signs if needed) when placing them into the template.

Real-life Applications

 * 1) The point-slope form of a line is extremely useful in calculus once one has the derivative to find slope.