All 303 families

GB-23-05-001 · Plotting a straight line

The equation of a line is y=3x+4y=3x + 4.
-4-2024-12-10-8-6-4-224681012xy

(a) Complete the table.

x-2-1012
y

(b) Draw the line on the grid.

Part (a) Coordinate Geometry: Plotting Straight Line Graphs Booklet p. 78
Method
1) Sub each x-value into equation using brackets ( )
2) Plot each (x, y) coordinate pair
3) Join with a straight ruled line
Worked Example (GB-23-05-001 · Part (a))
Complete the table.
x-2-1012
y
1)
Substitute each x value using brackets, for example y(−2)=3(−2)+4=−2y(-2)=3(-2) + 4=-2.
2)
x-2-1012
y-214710
Ans = -2, 1, 4, 7, 10
Part (b) Coordinate Geometry: Plotting Straight Line Graphs Booklet p. 78
Method
1) Sub each x-value into equation using brackets ( )
2) Plot each (x, y) coordinate pair
3) Join with a straight ruled line
Worked Example (GB-23-05-001 · Part (b))
Draw the line on the grid.
1)
Substitute each x value using brackets, for example y(−2)=3(−2)+4=−2y(-2)=3(-2) + 4=-2.
2)
x-2-1012
y-214710
3)
Plot the points and use a ruler to join them with a straight line.
4)
-2-2-1.20.4-0.42.80.45.21.27.6210xy
Ans = Straight line through (-2,-2), (0,4), (2,10).