Linear Equations
Graphing
Simultaneous Equations
100
How do you find the gradient of a line?
Rise/Run
100
How can you determine the x-intercept of a line?
Substitute y for 0
100
What is the solution to the graph of simultaneous equations?
(2,5)
intersection point
200
What is the gradient and y-intercept of this line:
y = 2x - 3
Gradient: 2
y-intercept: -3
200
What are the x and y intercepts of this graph?
x-intercept: (1,0)
y-intercept: (0,-2)
200
What is the solution of the simultaneous equations:
x = 4
y = x + 3
(4, 7)
300
What is the slope of the line that crosses between these two points:
(4, 4) , (2, 3)
m = 1/2
300
What is the slope of this line?
m = 1/2
300
What is the solution of the simultaneous equations:
2x + 4y = 20
-2x + 7y = 2
(6, 2)
400
Find the x and y intercepts on this line.
-4y - 12x = 20
Hint: Put your answer in this form (x,y)
x-intercept: (-5/3, 0)
y-intercept: (0, -5)
400
Graph the line: 3y + 6x = 9
400
What is the solution of the simultaneous equations:
3a+2b=19
4a+3b=27
a = 3
b = 5
500
Find the equation of a line that goes through the points ( 6, -1) and (0, -8)
y = (7/6)x -8
500
Graph the line 2y + 15 = x
Y - intercept (0,-7.5)
x intercept (15,0)
500
A fruit vendor is selling apples and oranges. A customer buys 3 apples and 2 oranges for $8.50. Another customer buys 5 apples and 3 oranges for $13.50. What is the price for each piece of fruit?
Orange: 2.00
Apple: 1.50