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

1 Answer
Aug 6, 2018

Answer:

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

Explanation:

Slope - Intercept form of equation is # y = mx + c# where,

#"slope "= m, " y-intercept " = c#

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

Point-Slope form of equation is #y - y_1 = m_1 (x - x_1)#

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

#"Equation of line going through (-3, -5) is "#

#y + 5 = -4(x + 3)#

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