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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.

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