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

$y =\frac{-1}{7}x + 0............(1)$

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 $y=\frac{1}{3}(-6x+5)$
$y=-2x +\frac{ 5}{3}.........(2)$

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 $y = 0 × x + 0.....(3)$

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 the y-intercept are 0 and 0 respectively.