Slope Point Form and Standard Form Equation of a Line G7

Introduction:
The slope point form of the equation of a line is y – y1 equals m(x – x1) where m is the slope and (x1,y1) is a point on the line.

Example 1: y -1 equals 3(x -2) is the slope point equation of the line containing pt (2,1)..

The standard form equation of a line is Ax plus By equals C.

Example 2: the equation of a line is y-4 equals 2(x-3). Write the equation in standard form.!2x -y equals -2.

Example 3: Write the slope point equation of the line containing the point (4-6) and parallel to y equals 3x-1.
Solution: two parallel lines have equal slope so m equals 3 and therefore y-((-6). Equals 3(x-4).

Conclusion:
we have three different types of equations of lines. Slope y-intercept form, point slope form, and standard form. The first two forms give us the slope and a point and are easy to graph.