Find the Equation of the line that is parallel to the given line and passes through the given point. y=-5x+1;(9,4)
The equation is y=?

Answer:
y = - 5x + 48
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 = - 5x + 1 ← is in slope- intercept form
with slope m = - 5
Parallel lines have equal slopes, thus
y = - 5x + c ← is the partial equation
To find c substitute (9, 3) into the partial equation
3 = - 45 + c ⇒ c = 3 + 45 = 48
y = - 5x + 48 ← equation of parallel line