Coordinate geometry

Question 1 of 10

Find the equation of the line through (2, 5) with gradient −1.

Question 2 of 10

Lines y = 2x + 1 and y = mx − 3 are perpendicular. Find m.

Question 3 of 10

Find the y-intercept of the line 4x − 2y = 8.

Question 4 of 10

Find the distance between (−1, 3) and (5, −5).

Question 5 of 10

The gradient of the line 3x + 4y = 12 is

Question 6 of 10

Find the equation of the line with gradient 2 that passes through (0, −3).

Question 7 of 10

The midpoint of (−2, 5) and (6, −1) is

Question 8 of 10

Find the midpoint of (−4, 6) and (8, −2).

Question 9 of 10

The line y = 3x − 6 meets the x-axis at

Question 10 of 10

The line through (k, 3) and (5, 7) has gradient 2. Find k.