This document contains 15 multiple choice questions testing understanding of linear graphs and equations. The questions cover identifying linear equations from choices, finding gradients and y-intercepts of lines, determining if lines are parallel or perpendicular, and finding coordinates from linear equations.

1. Linear Graphs

2. Question 1
What of the following equations represents
a linear graph?
a) y = 2x² + 5
b) 5y = 2x – 7
c) y = 4x³
d) y = 1/x

3. Question 2
Which of the following lines is perpendicular
to the line y = 5x + 2
a) y = 1/5x – 3
b) y = 7x + 2
c) y = 3 – 1/5x
d) y = 5x

4. Question 3
A graph has the equation y = 2x – 4.
Where does it cross the y axis?
a) (0,-4)
b) (2,4)
c) (-4,0)
d) (0,2)

5. Question 4
A graph has the equation y = 2x – 4.
What is the gradient of this line?
a) 2x – 4
b) 4
c) 2
d) -4

6. Question 5
What is the equation of this graph?
a) x² + 5
b) x³ - 3
c) -x ² - 2
d) x² - 2

7. Question 6
A graph has the equation y = 5 – 4x.
What is the gradient of this line?
a) 5
b) -4
c) 4
d) -2

8. Question 7
A graph has the equation y = 5 – 4x.
Where does this graph cross the y axis?
a) (0,5)
b) (-4,0)
c) (5,0)
d) (0,1)

9. Question 8
What are the coordinates of A?
a) (0,2)
b) (0,5)
c) (5,0)
d) (0,3)

10. Question 9
What is the equation of this graph?
a) y = x² - x
b) y = 2x + 1
c) y = x - x³
d) y = 1 - x

11. Question 10
A line has the equation y = 4x – 4.
Which of the following equations is parallel to this?
a) y = 7x – 3
b) y = 4x – 3
c) y = 2x – 2
d) y=x-4

12. Question 11
What are the coordinates of B?
a) (-2.5,0)
b) (0,5)
c) (5,0)
d) (0,2.5)

13. Question 12
Which line is parallel to y = 6 –
2x?
a) y=3–x
b) y = 10 – 2x
c) y = 6 + 2x
d) y=6-x

14. Question 13
Which line is perpendicular to y = 5 – 2x?
a) y = x/2 + 5
b) y = 7 – 1/2x
c) y = 7 – 2x
d) y = 60 + 2x

15. Question 14
What is the gradient of the line 2y – 4x = 5?
a) -4
b) 2
c) -2
d) 4

16. Question 15
Where does the line 2y – 4x = 5 cross the y
axis?
a) (-2.5,0)
b) (0,5)
c) (0, 2.5)
d) (0,-4)