# For the line with a slope,m, of -4/1 and passing through the point (1,-2), how do you write the equation in the slope intercept format?

Jun 3, 2016

The equation of the line in slope intercept form is
$y = - \frac{4}{1} x + 2$

#### Explanation:

The slope-intercept format of the equation of the line is $y = m x + b$
Where $m =$ the slope and $b =$ the y-intercept.

Since we are given the slope, $m = - \frac{4}{1}$ and a point (1,-2) we can plug these values in and solve for the y-intercept.

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

$y = m x + b$

$- 2 = - \frac{4}{1} \left(1\right) + b$

$- 2 = - 4 + b$

$- 2 + 4 = \cancel{- 4} \cancel{+ 4} + b$

$2 = b$

The equation of the line in slope intercept form is
$y = - \frac{4}{1} x + 2$