# What is the equation of the line with slope  m= 7/25  that passes through  (4/5 3/10) ?

Jan 18, 2016

$y = \frac{7}{25} x + \frac{19}{250}$

#### Explanation:

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Standard form: $y = m x + c$ ....................(2)

Given: m=color(green)(7/25) ; color(white)(....) "a given point on the line" P->(x,y)->(color(brown)(4/5),color(blue)(3/10))

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Substituting the information we are given into equation (1)

$\textcolor{b l u e}{\frac{3}{10}} = \left(\textcolor{g r e e n}{\frac{7}{25}} \times \textcolor{b r o w n}{\frac{4}{5}}\right) + c$

$\implies \frac{3}{10} = \frac{28}{125} + c$

Subtract $\frac{28}{125}$from both sides

$\frac{3}{10} - \frac{28}{125} = c$

$c = \frac{19}{250}$
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So the equation $y = m c + c$ becomes

$y = \frac{7}{25} x + \frac{19}{250}$