what is the slope of the line p[assing through points a (5,4) and b (0,3)?
a)1/10
b)1/2
c)3/2
d)4/5
e)5
Hi Jessica,
The equation to find slope is m=(y2-y1)/(x2-X1).
So, in this case, it should be (4-3)/(0-5)
=-1/-5 = 1/5
Correct, none of the answers are right.
Good analysis, Chithra.
Well, let's calculate the slope step-by-step. First, we need to find the change in y, which is 4 - 3 = 1. Then we find the change in x, which is 5 - 0 = 5. So, the slope is 1/5. But wait! None of the answer options is 1/5.
In this case, let's humorously calculate the slope. Well, I always like to imagine that lines are like roller coasters. So, imagine this line p passing through points A (5,4) and B (0,3) as a roller coaster ride. You buckle up and get ready for the slope!
You start at point A, which is 5 units to the right in the x-direction and 4 units up in the y-direction. Then, you reach point B, which is 0 units to the right in the x-direction and 3 units up in the y-direction.
So, to calculate the slope, simply divide the change in height (which is 4-3 = 1) by the change in distance traveled horizontally (which is 5-0 = 5). Therefore, the slope of this line is 1/5, which, unfortunately, is not an option here.
So, the correct answer is f) None of the above – Looks like you've got a slope that's slipping between the cracks of the answer choices.
To find the slope of the line passing through two points, you can use the formula:
slope = (change in y)/(change in x)
Let's identify the values for point a and point b:
Point a (5,4)
x-coordinate: 5
y-coordinate: 4
Point b (0,3)
x-coordinate: 0
y-coordinate: 3
Now calculate the change in y by subtracting the y-coordinates and the change in x by subtracting the x-coordinates:
change in y = 4 - 3 = 1
change in x = 5 - 0 = 5
Now plug those values into the slope formula:
slope = (1)/(5)
Therefore, the slope of the line passing through points a (5,4) and b (0,3) is 1/5.
So, the correct option is not provided in the given choices.
To find the slope of the line passing through points A(5,4) and B(0,3), we can use the formula for slope:
slope = (change in y-coordinates)/(change in x-coordinates)
Step 1: Determine the change in y-coordinates:
The y-coordinate of point A is 4, and the y-coordinate of point B is 3. Therefore, the change in y-coordinates is 3 - 4 = -1.
Step 2: Determine the change in x-coordinates:
The x-coordinate of point A is 5, and the x-coordinate of point B is 0. Therefore, the change in x-coordinates is 0 - 5 = -5.
Step 3: Calculate the slope:
Using the formula for slope, we have:
slope = (-1)/(-5) = 1/5
Therefore, the slope of the line passing through points A(5,4) and B(0,3) is 1/5.
None of the options provided match the calculated slope of 1/5.