Answer:
y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
Here (a, b ) = (10, - 2 ) , then
y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is
y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form
