Hello, ^_^Engineer_Adam^_^!!
There is only one formula to learn . . . Forget the others! **
Point-Slope Formula
Given a point and the slope
. . the line through point with slope is:
. . . . .
Write the equation of the line which passes through the point with the slope :
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
** [rant]
These two problems can be solved easily with the form:
But I find the alternate forms unnecessary/confusing/annoying.
Did you know that some textbooks teach you four formulas?
. . . in case you're given the slope and any point
. . . in case you're given the slope and the y-intercept
. . . in case you're given two points
. . . in case you're given the two intercepts
(2) is unnecessary because the y-intercept is simply a point
. . .and we can use formula (1).
(3) is unnecessary because, given two points, we can find the slope
. . .with the formula: ... and we can use formula (1).
(4) is unnecessary because we are given two points and
. . . The slope is: ... and we can use formula (1).
[/rant]