What is the equation of the line with slope $m = \frac{14}{25}$ $m= 14/25$ that passes through $(\frac{23}{5} \frac{23}{10})$ $(23/5 23/10)$ ?

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What is the equation of the line with slope $m = \frac{14}{25}$ $m= 14/25$ that passes through $(\frac{23}{5} \frac{23}{10})$ $(23/5 23/10)$ ?

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Answer 1 · 2018-06-25T12:49:09

Point-slope form: $y = \frac{14}{25} x - \frac{69}{250}$ $y=14/25 x-69/250$
Standard form: $140 x - 250 y = 69$ $140x-250y=69$

Explanation:

Remember that $y = m x + b$ $y=mx+b$ is the formula for point-slope form. All we have to do is plug in values and solve for $b$ $b$ :

$\frac{23}{10} = \frac{14}{25} (\frac{23}{5}) + b$ $23/10=14/25(23/5)+b$
$\frac{23}{10} = \frac{322}{125} + b$ $23/10=322/125+b$
$- \frac{69}{250} = b$ $-69/250=b$
$y = \frac{14}{25} x - \frac{69}{250}$ $y=14/25 x-69/250$

If you need standard form, here it is:

$- \frac{14}{25} x + y = - \frac{69}{250}$ $-14/25 x+y=-69/250$
$- 250 \cdot (- \frac{14}{25} x + y) = (- \frac{69}{250}) \cdot - 250$ $-250*(-14/25 x+y)=(-69/250)*-250$
$140 x - 250 y = 69$ $140x-250y=69$

Hope this helped! :)

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What is the equation of the line with slope $m = \frac{14}{25}$ $m= 14/25$ that passes through $(\frac{23}{5} \frac{23}{10})$ $(23/5 23/10)$ ?

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