How do you find the slope given 5x-2y=2?

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How do you find the slope given 5x-2y=2?

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Answer 1 · 2018-05-23T14:26:00

$slope = \frac{5}{2}$ $"slope "=5/2$

Explanation:

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

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

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

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

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

$- 2 y = - 5 x + 2$ $-2y=-5x+2$

$divide all terms by - 2$ $"divide all terms by "-2$

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

$with slope = \frac{5}{2}$ $"with slope "=5/2$

Answer 2 · 2018-05-23T15:04:19

$\frac{5}{2}$ $5/2$

Explanation:

In order to know, how to solve this, we need to know what is the slope intercept form of a line.

It is,

$y = m x + c$ $color(blue)(y=mx+c$

In this equation, the slope of the equation is $m$ $color(brown)(m$

$y=underbrace color(brown)(m)x+c$

So, in order to find the slope of the equation, we need to convert into this form

$rarr5x-2y=2$

$rarr2y=5x-2$

Divide both sides by 2,

$rarry=color(green)(5/2) x-1$

$color(green)(rArr"slope"=5/2$

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How do you find the slope given 5x-2y=2?

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