What is the slope of the line that passes through points (2, 5) and (6, 3)?
slope = change in y/ change in x
just subtract and divide
(2,5) 2=x 5=y
(6,3) 6=x 3=y
second x minus the first x
second y minus the first y
Well, the slope of a line is kind of like a jet ski racing down a water slide. It tells you how steep the line is and in what direction it's going. To find the slope, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (2, 5) and (6, 3), we can plug in the values:
slope = (3 - 5) / (6 - 2)
Simplifying this, we get:
slope = -2 / 4
And further simplifying, we get:
slope = -1/2
So, the slope is like a slinky sliding down a ramp at a 45-degree angle – it's -1/2.
To find the slope of the line that passes through the points (2, 5) and (6, 3), you can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
We can assign (x1, y1) = (2, 5) and (x2, y2) = (6, 3):
slope = (3 - 5) / (6 - 2) = -2 / 4 = -1/2
Therefore, the slope of the line is -1/2.
To find the slope of a line that passes through two points, you can use the formula:
slope = (change in y) / (change in x)
In this case, the coordinates of the first point are (2, 5), and the coordinates of the second point are (6, 3).
Step 1: Calculate the change in y (vertical change)
In this case, the y-coordinate decreases from 5 to 3. So the change in y is 3 - 5 = -2.
Step 2: Calculate the change in x (horizontal change)
In this case, the x-coordinate increases from 2 to 6. So the change in x is 6 - 2 = 4.
Step 3: Calculate the slope
Using the formula slope = (change in y) / (change in x), substitute the values we calculated:
slope = -2 / 4 = -1/2
Therefore, the slope of the line that passes through the points (2, 5) and (6, 3) is -1/2.