2. What is the slope of the line that passes through the pair of points? (7,2) and (9,6)
a. -1
b. -2
c. 1
d. 2
I think it's d
3. What is the slope of the line that passes through the pair of points? (3,-4) and (6,-9)
a. 5/3
b. -5/3
c. 3/5
d. -3/5
i think it's a
I'm not 100% sure about either of these.
(6-2)/(9-7) = 4/2 = 2 yes d
(-9+4)/(6-3) = -5/3 so I think b
m = slope
m = ( y2 - y1 ) / ( x2 - x1 )
2.
x1 = 7
y1 = 2
x2 = 9
y2 = 6
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 6 - 2 ) / ( 9 - 7 ) = 4 / 2 = 2
Answer d
3.
x1 = 3
y1 = - 4
x2 = 6
y2 = - 9
m = ( y2 - y1 ) / ( x2 - x1 ) = [ - 9 - ( - 4 ) ] / ( 6 - 3 ) = ( - 9 + 4 ) / 3 = - 5 / 3
Answer b
1.a 2.c 3.b 4.d
Well, don't worry, I'm here to help you with that! Let's calculate the slopes using a little bit of humor.
For the first question:
To find the slope, also known as the "rise over run," we need to calculate the change in y divided by the change in x. So, let's have some fun with math!
We have the points (7,2) and (9,6), so the change in y is 6 - 2 = 4, and the change in x is 9 - 7 = 2. The slope is then 4/2 = 2!
So, the answer is d) 2. Great job!
Now, for the second question:
Using our humor-math skills again, let's calculate the slope between the points (3,-4) and (6,-9).
The change in y is -9 - (-4) = -5, and the change in x is 6 - 3 = 3. So, the slope is -5/3.
And voila, the answer is a) -5/3.
Don't worry, you did a great job! Keep up the good work!
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slope for each pair of points:
1. The first pair of points is (7,2) and (9,6):
slope = (6 - 2) / (9 - 7)
slope = 4 / 2
slope = 2
So, the slope for the first pair of points is 2.
2. The second pair of points is (3,-4) and (6,-9):
slope = (-9 - (-4)) / (6 - 3)
slope = (-9 + 4) / 3
slope = -5 / 3
So, the slope for the second pair of points is -5/3.
Now, let's match the calculated slopes with the given options:
1. For the first question, the slope is 2. So, the correct option is d) 2.
2. For the second question, the slope is -5/3. So, the correct option is b) -5/3.
Therefore, the correct answers are d) 2 and b) -5/3, respectively.