How do you find the slope of $4 x - 3 y = 3$ $4x - 3y = 3$ ?

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How do you find the slope of $4 x - 3 y = 3$ $4x - 3y = 3$ ?

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Answer 1 · 2016-02-05T19:55:51

Slope: $\frac{4}{3}$ $4/3$

Explanation:

For a linear equation in standard form:
$XXX A x + B y = C$ $color(white)("XXX")Ax+By=C$
the slope can be derived by the formula
$XXX m = - \frac{A}{B}$ $color(white)("XXX")m=-A/B$
In this case $A = 4, B = - 3$ $A=4, B=-3$ so $m = - \frac{4}{- 3} = \frac{4}{3}$ $m=-4/(-3) = 4/3$

Alternately, if you don't remember this formula
you could convert the equation into slope-intercept form:
$XXX y = m x + b$ $color(white)("XXX")y=mx+b$ with slope $m$ $m$ and y-intercept $b$ $b$
In this case
$XXX 4 x - 3 y = 3$ $color(white)("XXX")4x-3y=3$
$XXX \to - 3 y = - 4 x + 3$ $color(white)("XXX")rarr -3y=-4x+3$
$XXX \to y = \frac{4}{3} x - 1$ $color(white)("XXX")rarr y =4/3x-1$
given the slope $m = \frac{4}{3}$ $m=4/3$ (and y-intercept $(- 1)$ $(-1)$ )

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How do you find the slope of $4 x - 3 y = 3$ $4x - 3y = 3$ ?

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Explanation:

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