# How do you write an equation of a line going through (-3,-5) parallel to y=-4x+1?

Aug 6, 2018

"Equation of line going through (-3, -5) is "color(magenta)(4x + y = -17

#### Explanation:

Slope - Intercept form of equation is $y = m x + c$ where,

$\text{slope "= m, " y-intercept } = c$

Slope of line $y = - 4 x + 1$ is $m = - 4$

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

(x_1, y_1) = (-3, -5), m_1 = m = -4, color(brown)(" as both lines are parallel"

$\text{Equation of line going through (-3, -5) is }$

$y + 5 = - 4 \left(x + 3\right)$

color(magenta)(4x + y = -17