What is the equation of the line with slope $m = - \frac{3}{7}$ $m= -3/7$ that passes through $(\frac{17}{13}, \frac{14}{7})$ $(17/13,14/7)$ ?

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What is the equation of the line with slope $m = - \frac{3}{7}$ $m= -3/7$ that passes through $(\frac{17}{13}, \frac{14}{7})$ $(17/13,14/7)$ ?

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Answer 1 · 2018-06-20T15:57:30

$y = - \frac{3}{7} x + \frac{233}{91}$ $y = -3/7x + \frac{233}{91}$

Explanation:

When you know a given point $(x_{0}, y_{0})$ $(x_0,y_0)$ and the slope $m$ $m$ , the equation of a line is

$y - y_{0} = m (x - x_{0})$ $y-y_0 = m(x-x_0)$

In your case, $(x_{0}, y_{0}) = (\frac{17}{13}, \frac{14}{7}) = (\frac{17}{13}, 2)$ $(x_0,y_0) = (\frac{17}{13}, \frac{14}{7}) = (\frac{17}{13},2)$ and $m = - \frac{3}{7}$ $m=-3/7$ .

Let's plug these values in the formula:

$y - 2 = - \frac{3}{7} (x - \frac{17}{13})$ $y-2 = -3/7(x-\frac{17}{13})$

Although this already is the equation of the line, you may want to write in the slope-intercept form, for example. Expanding the right hand side, we have

$y - 2 = - \frac{3}{7} x + \frac{51}{91}$ $y-2 = -3/7x+\frac{51}{91}$

add $2$ $2$ to both sides to get

$y = - \frac{3}{7} x + \frac{233}{91}$ $y = -3/7x + \frac{233}{91}$

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What is the equation of the line with slope $m = - \frac{3}{7}$ $m= -3/7$ that passes through $(\frac{17}{13}, \frac{14}{7})$ $(17/13,14/7)$ ?

1 Answer

Explanation:

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What is the equation of the line with slope $m = - \frac{3}{7}$ $m= -3/7$ that passes through $(\frac{17}{13}, \frac{14}{7})$ $(17/13,14/7)$ ?