Question

Express y in terms of x in $5y-3x-10=0.$ Also find the point where the line $5y-3x-10=0$ intersect the y-axis.

Answer 1

The given equation is
$5y-3x-10=0$
Expressing $y$ in terms of $x$, we get
$5y=3x+10\Rightarrow y=\frac{3}{5}x+2$

Line will intersect $y-$axis if $x=0$
$\Rightarrow y=\frac{3}{5}\times 0+2\Rightarrow y=2$
Co-ordinate of the point is $(0,2)$ where the line will intersect $y-$axis.