Reduce the equation


Reduce the equation 2x – 3y – 5 = 0 to slope-intercept form, and find from it the slope and y-intercept.


Given equation is $2 x-3 y-5=0$

We can rewrite it as 2x – 5 = 3y

$\Rightarrow 3 y=2 x-5$

$\Rightarrow y=\frac{2}{3} x-\frac{5}{3}$

This equation is in the slope-intercept form i.e. it is the form of

$\mathrm{y}=\mathrm{m} \times \mathrm{X}+\mathrm{c}$, where $\mathrm{m}$ is the slope of the line and $\mathrm{c}$ is $\mathrm{y}$-intercept of the line

Therefore, $\mathrm{m}=\frac{2}{3}$ and $\mathrm{c}=-\frac{5}{3}$


Slope is $\frac{2}{3}$ and $y-$ intercept is $-\frac{5}{3}$


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