Gradient of straight line

Gradient of straight line

By Hussam Fateen

Gradient is the measure of the slope of the graph.

It is measured by finding change in y divided by change in x. Formula of gradient is written on right.

​

Finding gradient of straight line

GRADIENT OR SLOPE​

In this graph, select any two points and using the formula in the previous slide, we can find the gradient.

Example 1

EXAMPLE 1:

Using these two points, (0,3) and (1, 5), we can label the points and substitute in the formula.

Example 1 (continued)

EXAMPLE 1:(contd)

​

Now, we substitute the two points we chose from the graph which lie on the line into the formula of gradient, and find the solution.

Example 1 (continued)

EXAMPLE 1:(contd)

​

Multiple Choice

Gradient is found using

• $$\frac{change\ in\ y\ }{change\ in\ x}$$  

• $$\frac{change\ in\ x}{change\ in\ y}$$  

• $$\frac{y}{x}$$  

• $$\frac{x}{y}$$  

Multiple Select

Formula for gradient is (there are two correct options)

• $$\frac{x_1-x_2\ }{y_1-y_2}$$  

• $$\frac{y_1-y_2}{x_1-x_2}$$  

• $$\frac{y_2-y_1}{x_2-x_1}$$  

• $$\frac{x}{y}$$  

Multiple Choice

The gradient of this line is

• 1

• 2

• 3 

• 4