# What is the equation in standard form of the line which passes through (1, –3) and has a slope of 2?

Mar 9, 2018

Standard form of equation is color(red)(-2x + y + 5 = 0

#### Explanation:

Given : $s l o p e = 2 , {x}_{1} = 1 , {y}_{1} = - 3$

Slope form equation is y – y1 = m(x – x1)

$y + 3 = 2 \cdot \left(x - 1\right)$

$y + 3 = 2 x - 2$

Standard form of equation is $A x + B y + C = 0$

Hence, $- 2 x + y + 3 + 2 = 0$

color(red)(-2x + y + 5 = 0

graph{2x - 5 [-10, 10, -5, 5]}