# How do you write an equation for the line in slope intercept form that is parallel to the given line and that passes through the given point y = x – 5; (–2, –16)?

Aug 12, 2017

The equaion of line in slope intercept form is $y = x - 14$

#### Explanation:

Parallel lines have equal slope. The slope of the line $y = x - 5$

is $m = 1$ (Comparing with standard equation $y = m x + c$ )

So the slope of the asked line is also $m = 1$

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

The line passes through $\left(- 2 , - 16\right)$ , so the point will satisfy

the equation $\therefore - 16 = - 2 + c \mathmr{and} c = - 16 + 2 = - 14$

Hence the equaion of line is $y = x - 14$ [Ans]