Gradient and equation of a line

Gradient of Line​

by Giovanni UH​

​Gradient of a Line

​Objective: Given two point on a line, students will be able to calculate the gradient of a line.​

Fill in the Blank

Given that the equation of a line is in the Form y=mx + c.   m is the _________ .

​Gradient/Slope

​Formula for gradient

​Given 2 points on the line:

​gradient, m=

​

​

​

Fill in the Blank

GIVEN POINT A (1,2) and B(4,8).  $$\ write\ the\ value\ of\ \ x_{1\ }$$  

Fill in the Blank

Given the point E(-4,1) and F(1,-6).  $$write\ the\ value\ of\ \ y_2$$  

​EXAMPLE 1

​Example 2:

Multiple Choice

Find the slope of the line that passes through (10,1) and (5,2)

• $$\frac{1}{5}$$  

• 5

• -5

• $$-\frac{1}{5}$$  

Multiple Choice

Find the slope of the line passing through (19,-2) and (-11,10)

• $$-\frac{2}{5}$$  

• $$\frac{5}{2}$$  

• $$\frac{2}{5}$$  

• $$-\frac{5}{2}$$  

Multiple Choice

Find the slope of the line passing through K(4,2) and L(1,-6)

• $$\frac{8}{3}$$  

• $$\frac{3}{8}$$  

• $$-\frac{8}{3}$$  

• $$-\frac{3}{8}$$