# How do you write the equation of the line that passes through (–1, 4) with a slope of –1 in standard form?

Mar 9, 2018

Standard form of equation is color(violet)(x + y -3 = 0

#### Explanation:

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

Given $m = - 1 , {x}_{1} = - 1 , {y}_{1} = 4$

Slope point from of equation is $y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - 4 = - 1 \cdot \left(x + 1\right)$

$y + x - 4 + 1 = 0$

graph{-x + 3 [-9.63, 10.37, -4.24, 5.76]}

Standard form of equation is color(violet)(x + y -3 = 0