Equation of Straight Line Between Two Points
Instructions
Answer all the questions below in your notes.
You can reveal the equation of the straight line at each stage by clicking the check box, but remember to hide it before the start of each question. Alternatively, you can press the restart button on the right.
Once you have answered all the questions, click the Check button at the bottom to check.
Question 1
Find the equation of the straight line that passes through the points (1, 2) and (4, 6). Give your answer in the form .
Question 2
Plot the points (2, 6) and (6, 2). What is the gradient of this line?
Question 3
In the previous question, the coordinates were a reflection of each other. Which line was the mirror line?
Question 4
Can you find other coordinate pairs which have this same property? Write some down. Does this always happen? Can you prove your result?
Question 5
Draw the line . Change one aspect so that the equation 1st, 2nd and 4th quadrant. How many different ways can you find to achieve this?