Worksheet: Finding Coordinates given the Slope

In this worksheet, we will practice finding unknown coordinates using the slope formula of two points.

Q1:

𝐴 𝐵 is parallel to the 𝑦 -axis. If the coordinates of the points 𝐴 and 𝐵 are ( 𝑚 , 2 ) and ( 8 , 6 ) , respectively, find the value of 𝑚 .

Q2:

𝐴 𝐵 is parallel to the 𝑥 -axis. If the coordinates of the point 𝐴 and 𝐵 are ( 7 , 2 ) and ( 7 , 𝑘 ) , respectively, find the value of 𝑘 .

Q3:

Given that the straight line passing through the points ( 1 , 8 ) and ( 6 , 𝑘 ) is parallel to the 𝑥 -axis, find the value of 𝑘 .

Q4:

Find the value of 𝑦 such that the straight line passing through ( 3 , 1 2 ) and ( 5 , 3 𝑦 ) is perpendicular to the 𝑦 -axis.

Q5:

𝐴 𝐵 is parallel to the 𝑦 -axis. If the coordinates of the points 𝐴 and 𝐵 are ( 𝑚 , 4 ) and ( 5 , 5 ) , respectively, find the value of 𝑚 .

Q6:

Given that the straight line passing through the points ( 4 , 7 ) and ( 8 , 𝑘 ) is parallel to the 𝑥 -axis, find the value of 𝑘 .

Q7:

Given that the straight line passing through the points ( 1 , 3 ) and ( 4 , 𝑘 ) is parallel to the 𝑥 -axis, find the value of 𝑘 .

Q8:

𝐴 𝐵 is parallel to the 𝑥 -axis. If the coordinates of the point 𝐴 and 𝐵 are ( 0 , 6 ) and ( 5 , 𝑘 ) , respectively, find the value of 𝑘 .

Q9:

𝐴 𝐵 is parallel to the 𝑥 -axis. If the coordinates of the point 𝐴 and 𝐵 are ( 6 , 2 ) and ( 3 , 𝑘 ) , respectively, find the value of 𝑘 .

Q10:

Find the value of 𝑦 such that the straight line passing through ( 0 , 3 ) and ( 7 , 3 𝑦 ) is perpendicular to the 𝑦 -axis.

Q11:

Find the value of 𝑦 such that the straight line passing through ( 2 , 1 2 ) and ( 3 , 2 𝑦 ) is perpendicular to the 𝑦 -axis.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.