Question

Reduce the line $2x-3y+5=0$ in slope- intercept form and hence find slope & $y$-intercept.

• A. $y=\frac{2x}{3}+\frac{5}{3}$, Slope $=\frac{2}{3}$, Y-intercept $=\frac{5}{3}$
• B. $y=\frac{-2x}{3}+\frac{5}{3}$, Slope $=\frac{-2}{3}$, Y-intercept $=\frac{5}{3}$
• C. $y=\frac{-2x}{3}-\frac{5}{3}$, Slope $=\frac{-2}{3}$,Y-intercept $=\frac{-5}{3}$
• D. $y=\frac{3x}{2}+\frac{3}{5}$, Slope $=\frac{3}{2}$,Y-intercept $=\frac{3}{5}$

Answer 1

The correct option is A $y=\frac{2x}{3}+\frac{5}{3}$, Slope $=\frac{2}{3}$, Y-intercept $=\frac{5}{3}$

We have the slope-intercept form as $y=mx+c$;

$m$ is slope and $c$ is y-intercept.

$2x-3y+5=0⟹y=\frac{2x}{3}+\frac{5}{3}$

$m=\frac{2}{3}$

$y$-intercept =$\frac{5}{3}$