AI generatedAlgebraKey Stage 3

Plotting horizontal and vertical lines

Plotting horizontal and vertical lines.

  • For a non-vertical straight line, use .
  • The gradient is change in divided by change in . The intercept is the value when .
  • Substitute a known point to find missing constant. Show the same operation on both sides.

Example 1

Draw both lines on coordinate axes.

Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460

Example 2

Draw both lines on coordinate axes.

Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460

Your turn

Question 1

Draw both lines on coordinate axes.

Check answer
Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460
Question 2

Draw both lines on coordinate axes.

Check answer
Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460
Question 3

Draw both lines on coordinate axes.

Check answer
Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460
Question 4

Draw both lines on coordinate axes.

Check answer
Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460
Question 5

Draw both lines on coordinate axes.

Check answer
Every point on this vertical line has the same -coordinate.Every point on this horizontal line has the same -coordinate.
A vertical line through , and a horizontal line through .
Coordinate graph−6−4−2246−6−4−22460
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