How do you find the slope given 4x-5y=3?

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How do you find the slope given 4x-5y=3?

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Answer 1 · 2018-03-07T20:26:56

Isolate Y on one side and move from there by dividing both sides.

Explanation:

$4 x - 5 y = 3$ $4x-5y=3$
$- 5 y = - 4 x + 3$ $-5y=-4x+3$
$y = \frac{4}{5} x - \frac{3}{5}$ $y=4/5x-3/5$
so $m = \frac{4}{5}$ $m=4/5$

Answer 2 · 2018-03-07T20:28:20

$slope = \frac{4}{5}$ $"slope "=4/5$

Explanation:

$the equation of a line in point-slope form$ $"the equation of a line in "color(blue)"point-slope form"$ is.

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$where m is the slope and b the y-intercept$ $"where m is the slope and b the y-intercept"$

$rearrange 4 x - 5 y = 3 into this form$ $"rearrange "4x-5y=3" into this form"$

$\Rightarrow - 5 y = - 4 x + 3 \leftarrow divide all terms by - 5$ $rArr-5y=-4x+3larrcolor(blue)"divide all terms by "-5$

$\Rightarrow y = \frac{4}{5} x - \frac{3}{5} \leftarrow in slope intercept form$ $rArry=4/5x-3/5larrcolor(blue)"in slope intercept form"$

$\Rightarrow slope = m = \frac{4}{5}$ $rArr"slope "=m=4/5$

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How do you find the slope given 4x-5y=3?

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