The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Where do the graphs cut the x -axis?

We have to find the position where the graphs cut the x -axis, i.e., its y -coordinate is 0 . From the given graphs, we observe that, y = x + 2 cuts the x -axis at x = - 2 y = - x + 2 cuts the x -axis at x = 2 y = x - 2 cuts the x -axis at x = 2 y = - x - 2 cuts the x -axis at x = - 2

The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Which graphs slope up to the right?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. There are four different types of slope. When a line has a positive slope it rises up left to right. When a line has a negative slope it falls left to right. When a line is horizontal the slope is zero. When the line is vertical the slope is undefined. From the given graphs, we observe that, y = x + 2 and y = x - 2 have positive slope and slope up to the right.

The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Which graphs slope down to the right?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. There are four different types of slope. When a line has a positive slope it rises up left to right. When a line has a negative slope it falls left to right. When a line is horizontal the slope is zero. When the line is vertical the slope is undefined. From the given graphs, we observe that, y = - x + 2 and y = - x - 2 have negative slope and slope down to the right.

The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Which graphs cut the y -axis at 0 , 2 ?

We have to find which graphs cut the y -axis at 0 , 2 , i.e. identify the lines of the graphs that passes through x = 0 and y = 2 . From the given graphs, we observe that, y = x + 2 and y = - x + 2 cuts the y -axis at y = 2 . Hence, y = x + 2 and y = - x + 2 cut the y -axis at 0 , 2 .

The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Which graphs cut the y -axis at 0 , - 2 ?

We have to find which graphs cut the y -axis at 0 , - 2 , i.e. identify the lines of the graphs that passes through x = 0 and y = - 2 . From the given graphs, we observe that, y = x - 2 and y = - x - 2 cuts the y -axis at y = - 2 . Hence, y = x - 2 and y = - x - 2 cut the y -axis at 0 , - 2 .

The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Does the point 3 , 3 lie on any of the graphs? If so, which?

In the point 3 , 3 , x -coordinate is 3 and y -coordinate is 3 . From the given graphs, we observe that, the point does not lie on any one of the four lines of the graphs.

The graphs of the following equations are drawn on the same set of axes. a y = x + 2 , b y = - x + 2 , c y = x - 2 , d y = - x - 2 Using the graphs answer the following question. Which graphs are parallel to each other?

We have to identify which graphs are parallel to each other. Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. In other words, the slopes of parallel lines are equal. From the given graphs, we observe that, y = x + 2 is parallel to y = x - 2 and y = - x + 2 is parallel to y = - x - 2 .

Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 10.1

Author:Karen Morrison & Nick Hamshaw

Karen Morrison Mathematics Solutions for Exercise - Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 10.1

Attempt the practice questions from Exercise 1: Exercise 10.1 with hints and solutions to strengthen your understanding. Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition solutions are prepared by Experienced Embibe Experts.

Questions from Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 10.1 with Hints & Solutions

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Where do the graphs cut the $x$ -axis?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Which graphs slope up to the right?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Which graphs slope down to the right?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Which graphs cut the $y$ -axis at $(0, 2)$ ?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Which graphs cut the $y$ -axis at $(0, - 2)$ ?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Does the point $(3, 3)$ lie on any of the graphs? If so, which?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Which graphs are parallel to each other?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 10 - Straight Lines and Quadratic Equations>Exercise 10.1>Q 4

The graphs of the following equations are drawn on the same set of axes.

$(a) y = x + 2, (b) y = - x + 2, (c) y = x - 2, (d) y = - x - 2$

Question Image

Using the graphs answer the following question.

Compare the equations of graphs that are parallel to each other. How are they similar? How are they different?

Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 10.1

Karen Morrison Mathematics Solutions for Exercise - Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 10.1

Questions from Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 10.1 with Hints & Solutions

Learn and Prepare for any exam you want !