Table of Values
X & Y Intercept
Gradient
Gradient Intercept Form
Linear Graphs
100
What do you call a list of x and y values that fit a given equation?
A table of values.
100
What are the X & Y intercepts?
The points at which the line (or curve) crosses the x and y axis.
100
Define gradient in mathematical terms.
The steepness of a line, calculated as the vertical change (rise) divided by the horizontal change (run) between two points.
100
What do m and b represent?
m is the gradient
b is the y-intercept
100
What kind of shape is formed by a linear graph on a coordinate plane?
A straight line.
200
Find the missing value
6
200
What is the y intercept of this graph?
(0, 3)
200
It is found that the run of a graph is 2 and the rise is 4. What is the gradient?
2
200
What is the standard formula for gradient intercept form?
y = mx + b
200
How many x-intercepts can a straight line have?
One (or zero if it's parallel to the x axis)
300
Find the missing value.
-1
300
What are the X and Y intercepts of this equation?
x-intercept: (2, 0)
y-intercept: (0,-4)
300
What is the gradient?
2
300
What is the gradient (m) and what is the y-intercept (b)?
y = 2x - 4
m = 2
b = -4
300
Which line has a bigger gradient?
Blue
400
Find the missing value.
5
400
What are the x & y intercepts of this graph?
x-intercept: (-2, 0)
y-intercept: (0,-3)
400
Find the gradient.
1/2
400
Find the equation for a line with the following gradient (m) and y-intercept (b)?
m = -3
b = 4
y = -3x + 4
400
Which equation graphs as a horizontal line?
A) y = 3x
B) y = 6
C) x = 7y
D) x = 1
B) y = 6
500
Find the missing values
500
What is the y-intercept of this equation?
y = 6x + 5
(0, 5)
500
Explain why the gradient for a vertical line is undefined.
The gradient (m) is calculated as "rise over run." For a vertical line, the horizontal change (run) is always zero, which results in division by zero (e.g., 5/0). Since division by zero is undefined, the slope of a vertical line does not exist as a real number.
500
Find the gradient (m) and the y-intercept (b) of the following equation.
2y = 4x - 6
m = 2
b = -3
500
Describe what happens to the graph of y = x + 5 compared to y = x?
It is shifted up by 5 units.