What is the equation of the line that is parallel to y=x+4 and that passes through (5,–4)?
1 answer:
Answer:
y = x - 5
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 = x + 4 ← is in slope- intercept form
with slope m =
• Parallel lines have equal slopes , then
y = x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = x - 5 ← equation of parallel line
You might be interested in
You can see that you're constantly subtracting 8 to get the next number. So, we have
So, as you can see, to get the n-th term we must subtract (n-1) times 8 from the original number.