How do you find the slope of the line $5 x + 4 y = - 2$ $5x+4y=-2$ ?

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How do you find the slope of the line $5 x + 4 y = - 2$ $5x+4y=-2$ ?

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Answer 1 · 2018-06-06T08:28:28

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

Explanation:

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

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

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

$rearrange 5 x + 4 y = - 2 into this form$ $"rearrange "5x+4y=-2" into this form"$

$subtract 5 x from both sides$ $"subtract "5x" from both sides"$

$4 y = - 5 x - 2$ $4y=-5x-2$

$divide all terms by 4$ $"divide all terms by 4"$

$y = - \frac{5}{4} x - \frac{1}{2} \leftarrow in slope-intercept form$ $y=-5/4x-1/2larrcolor(blue)"in slope-intercept form"$

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

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How do you find the slope of the line $5 x + 4 y = - 2$ $5x+4y=-2$ ?

1 Answer

Explanation:

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How do you find the slope of the line $5 x + 4 y = - 2$ $5x+4y=-2$ ?