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Practice — Coordinate geometry • Straight lines and perpendicular gradients

Straight lines and parallel gradients: check 1
Difficulty: ★★☆
5373
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O1

Maths4U Original · Short practice

\(\displaystyle A=(-3,-4), B=(2,-7)\) and \(\displaystyle C=(-2,-7)\).

Find the gradient of AB.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: review variant 1
Difficulty: ★★☆
5374
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O1-V1

Maths4U Original · Short practice

\(\displaystyle A=(-2,-3), B=(0,-5)\) and \(\displaystyle C=(-1,-6)\).

Find the gradient of AB.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: check 2
Difficulty: ★★☆
5375
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O2

Maths4U Original · Short practice

\(\displaystyle A=(-2,-3), B=(0,-5)\) and \(\displaystyle C=(-1,-6)\).

Find the y-intercept of the line AB.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: review variant 2
Difficulty: ★★☆
5376
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O2-V1

Maths4U Original · Short practice

\(\displaystyle A=(-1,-2), B=(2,-3)\) and \(\displaystyle C=(0,-5)\).

Find the y-intercept of the line AB.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: check 3
Difficulty: ★★☆
5377
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O3

Maths4U Original · Short practice

\(\displaystyle A=(-1,-2), B=(2,-3)\) and \(\displaystyle C=(0,-5)\).

Find y on AB at \(\displaystyle x=0\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: review variant 3
Difficulty: ★★☆
5378
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O3-V1

Maths4U Original · Short practice

\(\displaystyle A=(0,-1), B=(4,-1)\) and \(\displaystyle C=(1,-4)\).

Find y on AB at \(\displaystyle x=1\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: check 4
Difficulty: ★★☆
5379
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O4

Maths4U Original · Short practice

\(\displaystyle A=(0,-1), B=(4,-1)\) and \(\displaystyle C=(1,-4)\).

A parallel line passes through C. Find its y-intercept.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Straight lines and parallel gradients: review variant 4
Difficulty: ★★☆
5380
Info
M4U-EXT-QP-0580-STRAIGHT-LINES-O4-V1

Maths4U Original · Short practice

\(\displaystyle A=(1,0), B=(6,1)\) and \(\displaystyle C=(2,-3)\).

A parallel line passes through C. Find its y-intercept.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: check 1
Difficulty: ★★☆
5381
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O1

Maths4U Original · Short practice

Line l is \(\displaystyle y=\frac{x}{2} + 6\). A perpendicular line h passes through \(\displaystyle P=(2,2)\).

Find the gradient of h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: review variant 1
Difficulty: ★★☆
5382
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O1-V1

Maths4U Original · Short practice

Line l is \(\displaystyle y=7 - \frac{2 x}{3}\). A perpendicular line h passes through \(\displaystyle P=(-2,3)\).

Find the gradient of h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: check 2
Difficulty: ★★☆
5383
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O2

Maths4U Original · Short practice

Line l is \(\displaystyle y=7 - \frac{2 x}{3}\). A perpendicular line h passes through \(\displaystyle P=(-2,3)\).

Find the y-intercept of h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: review variant 2
Difficulty: ★★☆
5384
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O2-V1

Maths4U Original · Short practice

Line l is \(y=3 x + 2\). A perpendicular line h passes through \(\displaystyle P=(-1,4)\).

Find the y-intercept of h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: check 3
Difficulty: ★★☆
5385
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O3

Maths4U Original · Short practice

Line l is \(y=3 x + 2\). A perpendicular line h passes through \(\displaystyle P=(-1,4)\).

Find the x-intercept of h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: review variant 3
Difficulty: ★★☆
5386
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O3-V1

Maths4U Original · Short practice

Line l is \(y=3 - 2 x\). A perpendicular line h passes through \(\displaystyle P=(0,5)\).

Find the x-intercept of h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: check 4
Difficulty: ★★☆
5387
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O4

Maths4U Original · Short practice

Line l is \(y=3 - 2 x\). A perpendicular line h passes through \(\displaystyle P=(0,5)\).

Find y on h when \(\displaystyle x=1\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Perpendicular straight lines: review variant 4
Difficulty: ★★☆
5388
Info
M4U-EXT-QP-0580-PERPENDICULAR-LINES-O4-V1

Maths4U Original · Short practice

Line l is \(\displaystyle y=\frac{x}{3} + 4\). A perpendicular line h passes through \(\displaystyle P=(1,6)\).

Find y on h when \(\displaystyle x=2\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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