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.
- $y = -2x - 7$
- $y = -2x + 2$
- $y = -{1\over 2}x - 1$ ✓
- $y = -{1\over 2}x$
- $y = {1\over 2}x$

Loading worksheet ...

Loading presentation ...

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.