Answer:
see explanation
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 = - 4x + 3 ← is in slope- intercept form
with slope m = - 4
• Parallel lines have equal slopes, thus
y = - 4x + c ← is the partial equation
To find c substitute (- 9, - 4) into the partial equation
- 4 = 36 + c ⇒ c = - 4 - 36 = - 40
y = - 4x - 40 ← in slope- intercept form
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 4 and (a, b) = (- 9, - 4), thus
y - (- 4) = - 4(x - (- 9)), that is
y + 4 = - 4(x + 9) ← in point- slope form
