Answer:
y - 3 = - 2(x + 1)
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y = - 2x - 5 ← in slope- intercept form
with slope m = - 2
• Parallel lines have equal slopes
the equation of a line in point- slope form is
y - y₁ = m(x - x₁ )
m is the slope and (x₁, y₁ ) a point on the line
here m = - 2 and (x₁, y₁ ) = (- 1, 3 ) , then
y - 3 = - 2( x - (- 1) ) , that is
y - 3 = - 2(x + 1)