Question

Write an equation in point slope form

Passing through (-6,-3) and parallel to the line whose equation is y=-3x+5

Answer 1

we are writing it in point-slope form

\[ y - y_1 = m(x - x_1);~~(x_1,y_1) \]
point is (-6, -3) and the slope is m=3 (parallel lines have same slope)

Answer 2

m=-3*

Answer 3

as the required line is parallel to the line whose equation is y=-3x+5,
the slope is -3
as the required line passes through (-6,-3),
y-(-3) = (slope)(x-(-6))
y+3 = -3(x+6)
y+3=-3x-18
y=-3x-21