Question Number 32793 by Rio Mike last updated on 02/Apr/18
$${Given}\:{that}\:{the}\:{point}\:\left(−\bar {\mathrm{3}},\mathrm{2}\right)\:{lies}\:{on}\:{the} \\ $$$${line}\:\:\:\:{y}=\mathrm{2}{x}\:+\:\mathrm{c}.{find}\:{the}\:{coordinates}\: \\ $$$${of}\:{the}\:{point}\:{of}\:{intersection}\:{of}\:{this}\:{line}\:{and}\:{the}\:{y}−{axis} \\ $$
Answered by Joel578 last updated on 02/Apr/18
$${y}\:=\:\mathrm{2}{x}\:+{c} \\ $$$$\mathrm{2}\:=\:\mathrm{2}\left(−\mathrm{3}\right)\:+\:{c} \\ $$$${c}\:=\:\mathrm{8} \\ $$$$ \\ $$$${y}\:=\:\mathrm{2}{x}\:+\:\mathrm{8}\:\mathrm{intersect}\:\mathrm{with}\:{y}−\mathrm{axis}\:\rightarrow\:\:{x}\:=\:\mathrm{0}\:\:\rightarrow\:\:{y}\:=\:\mathrm{8} \\ $$$$\mathrm{Point}\:\mathrm{of}\:\mathrm{intersect}\:\left(\mathrm{0},\mathrm{8}\right) \\ $$