Getting an equation into y equals mx plus b?

Answer 1

y = mx +b typically known as sope-intercept form, can be determined based on the following:

Given: Two points on the function's line (x1,y1) and (x2,y2). You can first determine the slope of the equation using rise over run. Then by substituting a point on the line for x and y, you can determine any other constants.

Example: (1,0) and (5,9)

Slope:

m = (9-0) / (5-1)

m = 9/4

Substitution: (1,0)

0 = (9/4)(1) + b

b = -(9/4)

Alternatively a function can be listed in general form (Ax + By + C = 0), or standard form (Ax + By = C).

To get the equation into slope-intercept form, one must isolate the variables as needed.

Example:

Ax + By + C = 0

By = -Ax - C

y = -(Ax+C)/B and simplify