Grade 10 Maths · Functions

Find the y-intercept

Find where a graph cuts the y-axis by putting x = 0 into its equation (for example y = 2x + 3 cuts at (0; 3)).

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Grade 9 Mathematics - Calculating the x and y intercepts of a straight lineMrs Townsend Mathematics - South Africa

Mathematics Grade 9 Graphs - Dual Intercept Method Straight line graphs @mathszoneafricanmotivesMaths Zone African Motives

How To Find The X and Y Intercepts of a LineThe Organic Chemistry Tutor

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Question 4.2 · May/June 2025 · Paper 1 · National (DBE) · 2 marks

The graph of

f (x) = \frac{4}{x - 3} + 4

is drawn below. M is the point where the asymptotes of

f

intersect. C and D are the x- and y-intercepts respectively of

f

. A is the point on

f

that is closest to M. Diagram for this question

4.2 Calculate the coordinates of D.(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: find the y-intercept

Work each one out first, then open the memo and check every tick.

3. Question 3.1.4 · March 2025 · Provincial · 2 marks
Given: $f (x) = (x - 1)^{2} - 9$
3.1 Properties of $f (x)$ .
3.1.4 Calculate the y-intercept of $f$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Substitute x = 0 $y = (0 - 1)^{2} - 9$
  $y = 1 - 9$
  1 mark · Find the y-intercept
2. ✓
  State coordinates $(0; - 8)$
  1 mark · Find the y-intercept
4. Question 3.3 · March 2024 · Paper 1 · Provincial · 2 marks
The diagram shows the graph of $f (x) = \frac{3}{x + 2} + 1$
3.3 Determine the coordinates of $B$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Set $x = 0$ to find $y$ -intercept $y = \frac{3}{0 + 2} + 1$
  $y = \frac{3}{2} + 1$
  $y = \frac{5}{2}$
  1 mark · Find the y-intercept
2. ✓
  Write final coordinates $B (0; 2, 5)$
  1 mark · Find the y-intercept
5. Question 5.3 · November 2024 · Paper 1 · Provincial · 2 marks
The lines $y = - x + 4$ and $y = x - 2$ are the axes of symmetry of the function $f (x) = \frac{- 3}{x + p} + q$ .
5.3 Calculate the $y$ -intercept of $f$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Letting $x = 0$ $y$ -int: $(x = 0)$
  $y = \frac{- 3}{0 - 3} + 1$
  1 mark · Find the y-intercept
2. ✓
  $y = 2$ $y = 2$
  1 mark · Find the y-intercept
6. Question 5.2.1 · September 2024 · Paper 1 · Provincial · 2 marks
5.2 The graph of $h (x) = a^{x}$ is sketched below. $A (- 1; \frac{1}{2})$ is a point on the graph of h.
5.2.1 Substantiate why the coordinates of Q, the y-intercept of h, are (0; 1).(2)
Show the memo (2 ticks)Memo
1. ✓
  Substantiate x=0 $x = 0$
  1 mark · Find the y-intercept
2. ✓
  Value of h(0) $h (0) = 1$
  1 mark · Find the y-intercept

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