Reduce the following equation into intercept | vedclass

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Question

(A) The given equation is $4x - 3y = 6$. To reduce it to the intercept form $\frac{x}{a} + \frac{y}{b} = 1$,divide both sides by $6$: $\frac{4x}{6} -

Vedclass · Accepted Answer

$x$-intercept $= \frac{3}{2}, y$-intercept $= -2$

Vedclass · Answer

(A) The given equation is $4x - 3y = 6$. To reduce it to the intercept form $\frac{x}{a} + \frac{y}{b} = 1$,divide both sides by $6$: $\frac{4x}{6} - \frac{3y}{6} = \frac{6}{6}$ $\frac{2x}{3} - \frac{y}{2} = 1$ This can be written as: $\frac{x}{(\frac{3}{2})} + \frac{y}{(-2)} = 1$ Comparing this with the standard intercept form $\frac{x}{a} + \frac{y}{b} = 1$,we get the $x$-intercept $a = \frac{3}{2}$ and the $y$-intercept $b = -2$.

Reduce the following equation into intercept form and find its intercepts on the axes: $4x - 3y = 6$.

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