Checking and securing understanding of drawing vertical and horizontal graphs | Maths

Starter quiz

The gradient of the line with equation $y = 3x -4$ is ______.

'3' ✓
What is the gradient of the line with equation $y = 5 - 100x$ ?

5

-5

100

-100 ✓

-20
Which of these are coordinates of points on the $x$ -axis?

(-11, 0) ✓

(-10, 10)

(0, 0) ✓

(0, 12)

(41, 1)
Which of these are coordinates of points on the $y$ -axis?

(-11, 0)

(-10, 10)

(0, 0) ✓

(0, 12) ✓

(41, 1)
Which of these coordinates are on the line with equation $y = 2x + 1$ ?

(-3, -5) ✓

(-1, -3)

(0, 1) ✓

(1, 2)

(5, 10)
Which of these coordinates are on the line with equation $y = 7 - x$ ?

(-5, 2)

(-3, 10) ✓

(1, 6) ✓

(13, -8)

Which of these are coordinates of points on the line $y = 5$ ?

(-5, -5)

(-5, 5) ✓

(0, 5) ✓

(5, 0)

(5, 10)
Which of these are coordinates of points on the line $x = -3$ ?

(-3, -7) ✓

(-3, 2) ✓

(0, -3)

(3, -3)

(3, 3)
What is the equation of this line?

$y = -1$

$x = -1$ ✓

$y = 1$

$x = 1$

$x + y = -1$
Match each line to its equation.

A (pink)

⇔

$y = -2.5$ ✓

B (blue)

⇔

$y = 2.5$ ✓

C (purple)

⇔

$x = -2.5$ ✓

D (black)

⇔

$x = 2.5$ ✓
The equations of which type of lines cannot be written in the form $y = mx + c$ ?

diagonal lines

horizontal lines

vertical lines ✓

all lines can be written in the form $y = mx + c$
$There is a solution to the equation <Math>-{2\over 3}x + 6 = 8</Math> when <Math>x =</Math><span class="blank">______</span>. Use the graph to help you.$

There is a solution to the equation $-{2\over 3}x + 6 = 8$ when $x =$ ______. Use the graph to help you.

'-3' ✓

Loading worksheet ...

Loading presentation ...

Horizontal lines were drawn when finding the solutions of equations graphically.
Horizontal lines were drawn because you had a fixed value for y
Vertical lines are drawn when you have fixed value for x
Real life problems can be solved using a linear graph.

Pupils draw x = a as a horizontal line because the x axis is horizontal. Pupils draw y = a as a vertical line because the y axis is vertical.

Consider the points on the line x = 5 and ask pupils to plot 2-3 points. Can they see why it must be a vertical line?

Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
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.