Straight lines and coordinate geometry

Question 1 of 10

Find the midpoint of (1, −1) and (7, 3).

Question 2 of 10

The points A(−1, 1) and B(1, 2) are given. Find (a) the gradient of AB, (b) the midpoint of AB, (c) the length of AB to 2 decimal places, (d) the equation of the line perpendicular to AB at its midpoint.

Question 3 of 10

Find the gradient of the line joining (1, 1) and (4, 3).

Question 4 of 10

Find the equation of the line through (−4, −2) with gradient 4.

Question 5 of 10

The y-intercept of the line y = 2x − 5 is ___

Question 6 of 10

Find the distance between (−3, 0) and (1, −6), correct to 2 decimal places.

Question 7 of 10

The points A(−3, 0) and B(2, 2) are given. Find (a) the gradient of AB, (b) the midpoint of AB, (c) the length of AB to 2 decimal places, (d) the equation of the line perpendicular to AB at its midpoint.

Question 8 of 10

The points A(−2, 1) and B(1, 7) are given. Find (a) the gradient of AB, (b) the midpoint of AB, (c) the length of AB to 2 decimal places, (d) the equation of the line perpendicular to AB at its midpoint.

Question 9 of 10

The line y = 4 is parallel to the x-axis.

Question 10 of 10

Find the midpoint of (0, −2) and (5, −4).