Gradient (Rise over Run)
Gradient Formula
Graphing Equations
Writing Equations of Graphs
Coordinates
100
In the linear equation y = 5x + 3, what is the gradient?
5
100
What does the "m" stand for in y=mx+c
gradient
100
what is the vertical axis called?
the y-axis
100
What two values do you need to find when writing a linear equation?
What is the slope and y-intercept?
100
When we read (a,b) a refers to the _________ axis and b refers to the ___________ axis
x axis
y axis
200
Find the gradient of graph
2
200
What does the c stand for in y=mx+c?
y-intercept
200
What is the y-intercept of this graph: y = 2x + 3.
(0,3)
200
What does the slope (gradient) represent in a linear equation?
The slope represents the rate of change of y with respect to x, indicating how steep the line is.
200
the point (3,4) is in which quadrant?
1st quadran
300
What is the gradient of graph?
m=-4/5
300
What is the gradient of a line that goes through the points (0,0) and (2, 3)?
m=3/2
300
What is the gradient of the line that passes through points (2, 3) and (4, 7)?
m = 2
300
If a line crosses the y-axis at (0, -3) and has a gradient of 1, what is the equation?
y=x-3
300
the point (-1,-4) lies in which quadrant?
3rd Quadrant
400
What is the gradient of graph?
m=2
400
What is the gradient of a line that goes through the points (3, 2) and (-6, 7)?
m= -5/9
400
How does the gradient affect the direction of a line?
A positive gradient means the line rises, while a negative gradient means it falls.
400
What is the equation of a line passing through (2, 5) with a gradient of -1?
y=−x+7
400
list 3 examples of coordinates that lie on the x-axis
(x,0)
500
Given a slope of 2 and a point (1, 4), how do you write the equation of the line?
y=2x+2
500
What is the gradient of a line that goes through the points (-1, -4) and (-8, -2)?
m=-2/7
500
Which point lies on the line y=2x+1?
(0,0) (2,4) (3,7) (6,9)
(3,7)
500
Write a linear equation for Graph #4.
y = -2x + 6
500
What coordinate do these line meet?
y=2x+1
y=x+3
(2,5)