Coordinate geometry

Question 1 of 10

The line y = mx + 3 passes through (2, 7). Find m.

Question 2 of 10

Find the gradient of a line perpendicular to the line joining (1, 2) and (3, 6).

Question 3 of 10

The distance between (1, 2) and (4, 6) is

Question 4 of 10

The line kx + 2y = 5 is perpendicular to 2x − y = 3. Find k.

Question 5 of 10

The vertices of a triangle are (1, 1), (5, 1) and (3, 5). Its area is

Question 6 of 10

Which point lies on the line y = 2x − 1?

Question 7 of 10

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

Question 8 of 10

Find the equation of the line through (−1, 4) parallel to 2x − y + 3 = 0.

Question 9 of 10

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

Question 10 of 10

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