Question

The slope and the y-intercept of the given line, $2x-3y=7$ are respectively,

• A. $\frac{3}{2},\frac{-3}{7}$
• B. $\frac{2}{3},\frac{-7}{3}$
• C. $\frac{3}{2},\frac{3}{7}$
• D. $\frac{2}{3},\frac{7}{3}$

Answer 1

The correct option is B $\frac{2}{3},\frac{-7}{3}$

The given equation is $2x-3y=7$ ........ $\left(1\right)$

To obtain the slope and $y-$intercept of the given equation, we write it in slope-intercept form which is,

$y=mx+c$, where $m$ and $c$ are slope and $y-$intercept

From $\left(1\right)$,

$2x-3y=7⟹3y=2x-7⟹y=\frac{2}{3}x+(-\frac{7}{3})$

Comparing it with $y=mx+c$ we get,

slope$=m=\frac{2}{3}$ and y-intercept$=c=-\frac{7}{3}$

Hence, option B is correct.