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

1 Answer
sankarankalyanam
Aug 6, 2018

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

Explanation:

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

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

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

Point-Slope form of equation is y - y_1 = m_1 (x - x_1)y−y1=m1(x−x1)

(x_1, y_1) = (-3, -5), m_1 = m = -4, color(brown)(" as both lines are parallel"(x1,y1)=(−3,−5),m1=m=−4, as both lines are parallel

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

y + 5 = -4(x + 3)y+5=−4(x+3)

color(magenta)(4x + y = -174x+y=−17

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