# How do you write the slope-intercept form of an equation for the line containing (0, 3) with slope -1?

Nov 19, 2016

The equation of line in slope-intercept form is $y = - x + 3$

#### Explanation:

Slope of the line is $m = - 1$

Let the equation of line is $y = m x + c \mathmr{and} y = - x + c$

The point $\left(0 , 3\right)$ is on the line, so it will satisfy the equation of line, i.e. $3 = 0 + c \mathmr{and} c = 3$

Hence the equation of line in slope-intercept form is $y = - x + 3$[Ans]