Answer
I prefer the slope-intercept form of the equation of a line $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept because it readily gives the values of the slope and $y$-intercept, making graphing easier.
The following equations refer to the same line:
$4x+2y=8$
$y-2=-2(x-1)$
$y=-2x+4$
From the last one, which is in slope-intercept form, I know rightaway that the slope is $-2$ and the $y$-intercept is $4$. Same thing cannot be said about the two other forms.
Work Step by Step
I prefer the slope-intercept form of the equation of a line $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept because it readily gives the values of the slope and $y$-intercept, making graphing easier.
The following equations refer to the same line:
$4x+2y=8$
$y-2=-2(x-1)$
$y=-2x+4$
From the last one, which is in slope-intercept form, I know rightaway that the slope is $-2$ and the $y$-intercept is $4$. Same thing cannot be said about the first equation, which is in general form, and the second equation, which is in point-slope form.
