# How do you write an equation in standard form for a line passing through (0,3) and parallel to x+ y = 5?

Apr 2, 2018

The equation the line passing through $\left(0 , 3\right)$ and parallal to the line $x + y = 5$ is $x + y = 3$

#### Explanation:

Parallal lines have equal slopes . Therefore the equation of a line

parallal to x+y=5 ;(1) is x+y+c=0 ; (2) The point

$\left(0 , 3\right)$ is on the line, so , it will satisfy the equation (2).

$\therefore 0 + 3 + c = 0 \therefore c = - 3$ .So , the equation the line is

$x + y - 3 = 0 \mathmr{and} x + y = 3$.The equation the line passing

through $\left(0 , 3\right)$ and parallal to the line $x + y = 5$ is $x + y = 3$

[Ans]