Gradient and intercept

Q1·Straightforward

A line rises

6

units for every

3

units it runs to the right. What is the gradient?

Q2·Straightforward

What is the gradient of the line

y = 5x - 3

?

Q3·Straightforward

What is the

y

-intercept of the line

y = 3x + 8

?

Q4·Straightforward

A line rises

3

units for every

6

units it runs to the right. What is the gradient?

/

Q5·Moderate

Find the gradient of the line passing through

(2, 3)

and

(6, 11)

.

Q6·Moderate

Find the gradient of the line passing through

(1, 8)

and

(4, 2)

.

Q7·Moderate

Find the gradient of the line passing through

(-3, 2)

and

(1, 6)

.

Q8·Moderate

Find the gradient of the line passing through

(2, 5)

and

(6, 7)

.

/

Q9·Challenging

Find the equation of the line passing through

(0, 5)

and

(2, 9)

.

$y = 2x + 5$$y = 2x - 5$$y = 5x + 2$$y = 2x + 9$

Q10·Challenging

Find the equation of the line passing through

(1, 7)

and

(4, 1)

.

$y = -2x + 9$$y = 2x + 9$$y = -2x + 5$$y = -2x - 9$

Q11·Challenging

Find the equation of the line passing through

(0, -1)

and

(3, 8)

.

$y = 3x - 1$$y = 3x + 1$$y = -3x - 1$$y = x - 1$

Q12·Challenging

Find the equation of the line passing through

(2, 3)

and

(5, 9)

.

$y = 2x - 1$$y = 2x + 1$$y = 2x + 3$$y = 2x - 3$

Gradient and intercept

Worked examples

Gradient from rise and run

Gradient from two points

Equation of a line from two points

Practise