# How do you write an equation of a line given slope 5/2 and passes through (4,-1)?

Feb 18, 2016

$y = \frac{5}{2} x - 11$

#### Explanation:

To determine the equation of the line we can use the point slope formula and plug in the values given in the question.

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

$m = \frac{5}{2}$
${x}_{1} = 4$
${y}_{1} = - 1$

$\left(y - \left(- 1\right)\right) = \frac{5}{2}$(x - 4)#

$y + 1 = \frac{5}{2} x - 10$

$y + 1 - 1 = \frac{5}{2} x - 10 - 1$

$y = \frac{5}{2} x - 11$