Plotting lines, gradient and intercept
3 exam-style questions. Answers and the mark for each step are on the last page.
- Question 1
(a) A straight line passes through (1, 3) and (5, 11). Work out its gradient.
- Question 2
A line has equation .
(a) Find where the line crosses the y-axis.
(b) Find the point on the line with y-coordinate 10.
- Question 3
(a) Find the coordinates of the point where the line 4x + 3y = 18 crosses the x-axis.
Answers and marks
Question 1
(a)
- P1 Establishing or an equivalent valid method.
- A1 Correct answer:
Question 2
(a)
- M1 Set x equal to zero on the y-axis.
- A1 Correct answer:
(b)
- M1 Solve the equation for x using the given y.
- A1 Correct answer:
Question 3
(a)
- P1 Establishing or an equivalent valid method.
- A1 Correct answer: