Find the gradient of the line joining the points (5,2) and (6,3)
1/2
(5,2) , (6,3).
m =(3-2) / (6-5) = 1/1 = 1.
To find the gradient of a line, we use the formula:
Gradient (m) = (change in y)/(change in x)
Let's use the coordinates (x1, y1) = (5, 2) and (x2, y2) = (6, 3) to calculate the gradient:
Change in x = x2 - x1 = 6 - 5 = 1
Change in y = y2 - y1 = 3 - 2 = 1
So, the gradient (m) of the line joining the points (5, 2) and (6, 3) is 1/1, or simply 1.
To find the gradient of the line joining two points, you can use the formula:
Gradient = (change in y) / (change in x)
Let's label the coordinates of the first point as (x₁, y₁) and the coordinates of the second point as (x₂, y₂).
In this case, the coordinates are:
Point 1: (5,2)
Point 2: (6,3)
Now, calculate the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
change in y = y₂ - y₁
Substituting the values:
change in y = 3 - 2 = 1
Next, calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
change in x = x₂ - x₁
Substituting the values:
change in x = 6 - 5 = 1
Finally, divide the change in y by the change in x to find the gradient:
Gradient = change in y / change in x
= 1 / 1
= 1
Therefore, the gradient of the line joining the points (5,2) and (6,3) is 1.