Graphically solving two linear graphs that intersect

12 questions

1. The graph of a __________ equation is a straight line.
2. Which of these lines has the least steep gradient?
3. Use the graph of y =3x-4 to solve the equation 3x-4=2. The solution is x=___.
4. Use the graph of y =7.4 x+12.95 to estimate the value of 7.4\times 4+12.95.
5. Aisha is plotting the graph of the line 3y + 4x=24. She only wants to plot two points. Which of these points would be the best points for Aisha to use?
6. Select the points which lie both on the line y=2x+1 and on the line y=3x-2.
7. The point where the lines y=2x+4 and y=2-x meet is called the ___.
8. Izzy plots the graphs of y=2x+1 and y=3x-2 on the same coordinate grid. How many points will lie on both lines?
9. The linear equations y = 2x + 5 and y = 2 − x intersect at the point with coordinates (−1, 3). What is the solution to the equation 2x+5=2-x?
10. Use the graph to solve the simultaneous equations y=2x-1 and y=3x-2.
11. The diagram shows 6 points and the the lines y=2x-1 and y=5-x. Which points satisfy the inequality y>2x-1 ?
12. The diagram shows 6 points and the the lines y=2x-1 and y=5-x. The point that is the region y>5-x and y<2x-1 is ___.

License: OGL