Lineshasaslopeof –3 4 . Line tisparalleltoline s . What istheslopeofline t ?
Answers
Answer:
o find the slope, we will need two points from the line.
I'll pick two x-values, plug them into the line equation, and solve for each corresponding y-value. If, say, I pick x = 3, then:
y = \dfrac{2}{3}\left(3\right) - 4y=
3
2
(3)−4
= 2 - 4 = -2=2−4=−2
Now let's say I pick x = 9; then:
y = \dfrac{2}{3} \left(9\right) - 4y=
3
2
(9)−4
= 6 - 4 = 2=6−4=2
(By the way, I picked those two x-values precisely because they were multiples of three; by doing so, I knew I'd be able to clear the denominator of the fraction so I'd end up with nice, neat integers for my resulting y-values. It's not a rule that you have to do that, but it's a helpful technique.)
So the two points I found, (3, –2) and (9, 2), are on the line y = \frac{2}{3} x - 4y=
3
2
x−4.
To find the slope, designated by "m", we can use the following formula:
m = \dfrac{y_1 - y_2}{x_1 - x_2}m=
x
1
−x
2
y
1
−y
2
(Why "m" for "slope", rather than, say, "s"? The official answer is: Nobody knows.)
Step-by-step explanation:
Cause slamming doors and crying out
I thought it'd get you back 'till now
I didn't believe you'd ever leave me
So please just listen to me now
Roses are red
Violets are blue
I don't sleep at night
Cause I'm thinking of you
Alone with my thoughts
Trapped in this bed
Know I'd give the world
Just to see you again
And your imperfections
Perfectly drawn up
But I was a fool to think
You were in love
So roses are red
Violets are blue
It's all in my head
No matter what I do
It seems you've lost your love for me
Even though just two weeks ago you were happy
It seems you've lost your sympathy
But I guess it's my fault cause I let you slip from me
