Finding the equation of the line y = mx + c | Maths | Quizalize & Oak National Academy

Starter quiz

What is the $y$ -intercept of the line with equation $y = 5x - 1$ ?

(0, -5)

(0, -1) ✓

(0,1)

(0,5)
What is the gradient of the line with equation $y = x + 7$ ?

'1' ✓
What is the gradient of this line?

'-5' ✓
What is the value of the expression $10 - 3x$ when $x=2$ ?

'4' ✓
Which coordinates are on the line $y = 5x - 6$ ?

(10,4)

(2,16)

(1,-1) ✓

(0, -6) ✓

(-1, 1)
What is the $y$ -intercept for the line formed when these coordinates are plotted?

(0,-11)

(0, 5)

(0,7)

(0,19) ✓

(0,20)

Which of these is an equation for the line which has $y$ -intercept (0,-4) and gradient 3?

$y = -4x + 3$

$y = 3x + 4$

$y = 4 - 3x$

$y = 3x - 4$ ✓
Which of these is an equation for the line which has gradient -1 and $y$ -intercept 5?

$y = x - 5$

$y = 5 - x$ ✓

$y = 1 - 5x$

$y = 5x - 1$
The equation of this line is: $y =$ ______ $x - 1$ .

'3' ✓
The equation of the line formed by plotting these coordinates is: $y =$ ______ $- 2x$ .

'6' ✓
Which of these is the equation of this line?

$y = {1\over 3}x - 4$

$y = -{1\over 3}x - 4$

$y = 4 - 3x$

$y = -3x - 4$ ✓

$y = -2x - 4$
Which of these is the equation of the line joining the coordinates (-4,1) and (2,-2)? Use the broken table to help.

$y = -2x - 7$

$y = -2x + 2$

$y = -{1\over 2}x - 1$ ✓

$y = -{1\over 2}x$

$y = {1\over 2}x$

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Writing the gradient as the constant and the y intercept as the coefficient of x.

Link to linear sequences where the coefficient of n is the common difference in the sequence to help pupils see why (m) is the gradient.

Equation of a line - An equation of a line is any equation whose graph forms a straight line.
Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.