Question

Reduce the following equations into slope - intercept form and find their slopes and the $y$ - intercepts.
(i)$x+7y$ $=0$
(ii)$6x+3y-5$ $=0$
(iii)$y$ $=0$

Answer 1

(i) The given equation is $x+7y=$0
It can be written as
$y=-\frac{1}{7}x+0$
This equation is of the form y$=mx+c$, where $m=-\frac{1}{7}$ and $c=0$
Therefore equation (1) is in the slope-intercept form,where the slope and the $y$-intercept are $-\frac{1}{7}$ and 0 respectively.
(ii) The given equation is $6x+3y-5=$0 it can be written as
$y=\frac{1}{3}(-6x+5)$
$y=2x+\frac{5}{3}$
This equation is of the form y$=mx+c$,where $m=-2$ and $c=\frac{5}{3}$
Therefore equation (2) is in the slope intercept form,where the slope and the $y$-intercept are $-2$ and $\frac{5}{3}$ respectively.
(iii) The given equation is $y=0$.
It can be written as
$y=0.x+0$
This equation is of the form $y=mx+c$,where $m=0$ and $c=0.$
Therefore equation (3) is in the slope-intercept form,where the slope and $y$-intercept are $0$ and $0$ respectively.