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Tuesday, November 16, 2010

Point- Slope Form vs. Slope-Intercept Form

This is a way easier way to solve certain problems with point-slope form rather than slope-intercept form.
Slope-Intercept Form: y=mx+b, m=slope, b=y-intercept.
Point-Slope Form: (pretend , is sub one!) y-y‚=m(x-x,)
Here is an example of this problem:
Find a line parallel to this that goes through the points (6,-2) 4x-y=3
y-y,=4(x-x,)
(y-(-2))=4(x-6)
y+2=4x-24
y=4x-22

1 comment:

  1. you can also find the slope on standard form: ax + by = c by turning the equation into slope-intercept form.
    ax + by = c
    -ax -ax

    by = -ax + c
    ____________ =
    b

    y= -a/b + c/b

    now you you are given standard form, you know that the slope will always be -a/b, and the y-intercept will be c/b.

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