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

Jan 11, 2017

$y = \frac{5}{4} x$

Explanation:

You would use the formula:

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

where m is the slope of the line and (x_1;y_1) is a point belonging to the line.

Then

$y + 5 = \frac{5}{4} \left(x + 4\right)$

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