# How do you write an equation in standard form for a line which passes through (-6,-7) m= -1?

Mar 9, 2018

Standard form of the linear equation is color(green)(x + y + 1 = 0

#### Explanation:

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

Given (x_1 = -6, y = -7, slope $m = - 1$

Then the equation of the line is $y - {y}_{1} = m \cdot \left(x - {x}_{1}\right)$

$y + 7 = - 1 \cdot \left(x + 6\right)$

$y + 7 + x - 6 = 0$ bringing all the terms to L H S.

Standard form of the linear equation is $x + y + 1 = 0$