Find the gradient of the line joining A(4,3) and B(9,7)
Select one:
4/5
1.2
0.84
5/4
4/5
To find the gradient of the line joining two points, we can use the formula:
gradient = (change in y) / (change in x)
Given point A(4,3) and point B(9,7), we can calculate the change in y and change in x as follows:
Change in y = y2 - y1 = 7 - 3 = 4
Change in x = x2 - x1 = 9 - 4 = 5
Using the formula, the gradient of the line joining A(4,3) and B(9,7) is:
gradient = (change in y) / (change in x) = 4 / 5 = 0.8
Therefore, the gradient of the line is 0.8, which is equivalent to 4/5.
To find the gradient of the line joining points A(4,3) and B(9,7), we can use the formula: m = (y2 - y1)/(x2 - x1), where m represents the gradient and (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's substitute the given coordinates into the formula:
m = (7 - 3)/(9 - 4)
Simplifying further:
m = 4/5
Therefore, the gradient of the line joining A(4,3) and B(9,7) is 4/5.
So, the correct answer is 4/5.