Question

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

Answer 1

`"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`