# How do you write an equation of the line with slope -3 and y-intercept (0,-5)?

Feb 5, 2015

$y = - 3 x - 5$

The slope-intercept equation for a straight line is $y = m x + b$, where m is the slope and b is the slope-intercept.

Your information states that the slope is -3, and the y-intercept is (0,-5). This is incorrect. The -5 is the slope-intercept, because that is the point where the line crosses the y-axis.

So now we can plug in the known values and write a slope-intercept equation for a straight line.

$y = m x + b =$

$y = - 3 x - 5$