# How do you find the slope intercept form of the equation of the line that passes through (-1, 5) and is parallel to 4x+2y=8?

Nov 4, 2016

The equation of the line in slope intercept form is $y = - 2 x + 3$.

#### Explanation:

The slope of the line $4 x + 2 y = 8 \mathmr{and} 2 y = - 4 x + 8 \mathmr{and} y = - 2 x + 4$ is $- 2$(obtained by comparing with the standard form of equation $y = m x + c$)

Parallel lines have same slope .

Thus line passing through $\left(- 1 , 5\right)$ , parallal to the line $y = - 2 x + 4$ has slope $m = - 2$

So the equation of the line in slope intercept form is $y = - 2 x + c$

The point $\left(- 1 , 5\right)$ is on the line , so it satisfies the equation $y = - 2 x + c \therefore 5 = - 2 \cdot - 1 + c \mathmr{and} c = 5 - 2 = 3$.
Hence the equation of the line is $y = - 2 x + 3$. [Ans]