Geo2.26

Transform the equation $5x-2y-7=0\,$ into i)Slope-intercept form ii).Intercept form iii).Normal form.

i)Slope-Intercept form

$5x-2x-7=0\,$

$2y=5x-7\,$

$y=\frac{5}{2}x+\frac{-7}{2}\,$

ii).Intercept form

$5x-2y-7=0\,$

$5x-2y=7\,$

$\frac{x}{\frac{7}{5}}-\frac{y}{\frac{7}{2}}=1\,$

iii).Normal form

$\frac{5x}{\sqrt{5^2+2^2}}+\frac{-2y}{\sqrt{5^2+2^2}}=\frac{7}{\sqrt{5^2+2^2}}\,$

$\frac{5x}{\sqrt{29}}+\frac{-2y}{\sqrt{29}}=\frac{7}{\sqrt{29}}\,$