Which line has a slope of -5/8 and goes through the point [2,3]?

Apr 8, 2018

$y = - \frac{5}{8} x + \frac{17}{4}$

Explanation:

.

$m = - \frac{5}{8}$

$\left(2 , 3\right)$

The general equation of a straight line is:

$y = m x + b$, where $m$ is the slope and $b$ is the $y$-intercept.

$y = - \frac{5}{8} x + b$

Now, we can use the coordinates of the point in this equation to solve for $b$:

$3 = - \frac{5}{8} \left(2\right) + b$

$3 = - \frac{5}{4} + b$

$b = 3 + \frac{5}{4} = \frac{12 + 5}{4} = \frac{17}{4}$

The equation of the line is:

$y = - \frac{5}{8} x + \frac{17}{4}$

Apr 8, 2018

$y = - \frac{5}{8} x + \frac{17}{4}$

Explanation:

usual equation is $y = m x + b$
substitute the values
$3 = 2 \left(- \frac{5}{8}\right) + b$
$3 = - \frac{5}{4} + b$
$3 + \frac{5}{4} = b$
$\frac{12 + 5}{4} = b$
$\frac{17}{4} = b$