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Reduce the following equations into slope-intercept form and find their slopes and intercepts on the axes.
(i) $x+7 y=0$
(ii) $6 x+3 y-5=0$
(iii) $y=0$
(i) $x+7 y=0$
(ii) $6 x+3 y-5=0$
(iii) $y=0$
Solution:
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Verified Answer
(i) $x+7 y=0$ or $y=-\frac{1}{7} x+0$
$\therefore \quad$ Slope $=-\frac{1}{7}$ and $y$-intercept $=0$
(ii) $6 x+3 y-5=0$ or $3 y=-6 x+5$
$y=-2 x+\frac{5}{3}$
$\therefore \quad$ Slope $=-2$ and $y$-intercept $=\frac{5}{3}$
(iii) $y=0$ or $y=0 . x+0$
$\therefore \quad$ Slope $=0, y$-intercept $=0$
$\therefore \quad$ Slope $=-\frac{1}{7}$ and $y$-intercept $=0$
(ii) $6 x+3 y-5=0$ or $3 y=-6 x+5$
$y=-2 x+\frac{5}{3}$
$\therefore \quad$ Slope $=-2$ and $y$-intercept $=\frac{5}{3}$
(iii) $y=0$ or $y=0 . x+0$
$\therefore \quad$ Slope $=0, y$-intercept $=0$
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