Answer:
g(x) = - 7x + 3
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
f(x) = - 7x - 4 ← in slope- intercept form
with slope m = - 7
• Parallel lines have equal slopes , then
g(x) = - 7x + c ← is the partial equation
to find c , substitute the point (2, - 11 ) into the partial equation
- 11 = - 7(2) + c = - 14 + c ( add 14 to both sides )
3 = c
g(x) = - 7x + 3 ← equation of parallel line