Sketching straight lines, parallel + perpendicular lines etc. practice on GC and DrFrost
Good luck!!!
What can be said about the gradients of parallel lines?
the gradient is the same
What can be said about the gradients of perpendicular lines?
the gradient is the negative reciprocal
Are these pairs of lines parallel or perpendicular? -> y = 4x+2 , y = -1/4x -7
Perpendicular
Are these pairs of lines parallel or perpendicular? -> y = 2/3x - 1 , y = 2/3x - 11
Parallel
How do u find the equation of a line given the two points it passes through?
- use the gradient formula [m = (Yb - Ya)/(Xb - Xa)], labelling points A and B carefully
- Find ‘c’ by substituting your ‘m’, and either point A or B into y = mx + c
- write the final equation by replacing only ‘m’ and ‘c’ in y = mx + c with your numbers
What are the typical formats of the equation of a line?
y = mx + c
ax + by + c = 0
ax + by = c
Review the magic line equation + try make some sense out of it (on Notability)
Good luck!!!
What is the midpoint of a line?
- the MIDPOINT of a LINE segment is a point that lies exactly halfway between two points
How do u find the coordinates of the midpoint of a line?
- to find the coordinates of the MIDPOINT M, take the averages of the ‘x’ and ‘y’ coordinates of the endpoints A and B
What is the perpendicular bisector?
The perpendicular bisector is a line which cuts another line exactly in half at 90°
Review how to find the perpendicular bisector of a line!!! (on GC/notability/DrFrost)
Good luck!!!
What does sketching a straight line graph show?
- sketching a graph shows the key points + general shape, but is not meant to be as accurate as plotting a line from a table of values
What does a sketch of a straight line graph include?
- Includes axes, intercepts
- make sure to write down the equation of the line by ur sketch
Do practice questions for all different kinds of straight line graphs etc. (on GC/notability/DrFrost)
Good luck!!! You have got this!!! 🥳🥳
