Last updated on Sep 21, 2026

Equations of Lines (HSC SSCE Mathematics Advanced): Quizzes

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Equations of Lines

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What is the point-gradient formula for a line with gradient $m$ through point $(x_1, y_1)$ ?

$y - y_1 = m(x - x_1)$

What is the gradient of the line through points $(2, 3)$ and $(4, 7)$ ?

$m = 2$

Find the equation of the line through $(0, 1)$ with gradient $4$ in form $y = mx + c$ .

$y = 4x + 1$

What is the relationship between the gradients of two parallel lines?

They are equal: $m_1 = m_2$

Find the equation of a line parallel to $y = 2x + 5$ through $(1, 1)$ in form $y = mx + c$ .

$y = 2x - 1$

What condition must the gradients of two perpendicular lines satisfy?

$m_1 \times m_2 = -1$

What is the gradient of a line perpendicular to a line with gradient $5$ ?

$m = -\frac{1}{5}$

Find the equation perpendicular to $y = 2x + 1$ through $(0, 3)$ in form $y = mx + c$ .

$y = -\frac{1}{2}x + 3$

Two lines have gradients $m_1 = 3$ and $m_2 = -3$ . What is their relationship?

Neither parallel nor perpendicular

What gradient does a line perpendicular to $y = -\frac{2}{3}x + 4$ have?

$m = \frac{3}{2}$

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Equations of Lines (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the point-gradient formula for a line with gradient mmm through point (x1,y1)(x_1, y_1)(x1​,y1​)?

What is the gradient of the line through points (2,3)(2, 3)(2,3) and (4,7)(4, 7)(4,7)?

Find the equation of the line through (0,1)(0, 1)(0,1) with gradient 444 in form y=mx+cy = mx + cy=mx+c.

What is the relationship between the gradients of two parallel lines?

Find the equation of a line parallel to y=2x+5y = 2x + 5y=2x+5 through (1,1)(1, 1)(1,1) in form y=mx+cy = mx + cy=mx+c.

What condition must the gradients of two perpendicular lines satisfy?

What is the gradient of a line perpendicular to a line with gradient 555?

Find the equation perpendicular to y=2x+1y = 2x + 1y=2x+1 through (0,3)(0, 3)(0,3) in form y=mx+cy = mx + cy=mx+c.

Two lines have gradients m1=3m_1 = 3m1​=3 and m2=−3m_2 = -3m2​=−3. What is their relationship?

What gradient does a line perpendicular to y=−23x+4y = -\frac{2}{3}x + 4y=−32​x+4 have?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

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Trigonometric Identities and Equations

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Exponential Functions

Logarithmic Functions

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Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What is the point-gradient formula for a line with gradient $m$ through point $(x_1, y_1)$ ?

What is the gradient of the line through points $(2, 3)$ and $(4, 7)$ ?

Find the equation of the line through $(0, 1)$ with gradient $4$ in form $y = mx + c$ .

Find the equation of a line parallel to $y = 2x + 5$ through $(1, 1)$ in form $y = mx + c$ .

What is the gradient of a line perpendicular to a line with gradient $5$ ?

Find the equation perpendicular to $y = 2x + 1$ through $(0, 3)$ in form $y = mx + c$ .

Two lines have gradients $m_1 = 3$ and $m_2 = -3$ . What is their relationship?

What gradient does a line perpendicular to $y = -\frac{2}{3}x + 4$ have?