Gradient & Straight Lines Flashcards
True or false: The gradient of a horizontal line is zero.
True
Fill in the blank: The gradient of a vertical line is ________.
Undefined
Which direction does a line with a positive gradient slope?
Upwards from left to right
What is the gradient of a line parallel to the x-axis?
Zero
True or false: A line with a gradient of 2 is steeper than a line with a gradient of 1.
True
What is the gradient of a line parallel to the y-axis?
Undefined
True or false: The gradient is the same as the slope of a line.
True
True or false: The gradient of a line can never be negative.
False
If a line has a gradient of 0, what is the slope of the line?
0
What is the gradient of a line that is parallel to the y-axis?
Undefined
How do we calculate a gradient
M = y2 - y1
————
x2 - x1
If a lines gradient is zero what kind of line is it?
Horizontal
If a lines gradient is undefined what kind of line is it?
Vertical
What does C stand for?
The y- intercept
What does M stand for
Gradient
If the question asks you
“Find the gradient of the line joining points (-,-) and (-,-)”
What equation would you use?
M = y2 - y1
———
x2 - x1
How do we find the equation of a straight line if we are given the y- intercept (0,C)
Y = mx + c
What are parallel lines?
Lines that will never meet, and consequently have the same gradient
“Find the gradient of line passing through the point (0,6) with gradient m = 5“
what equation would we use to solve this?
Y= mx + C
What do we do if we are asked to sketch a line?( method)
We use a table of value x. Y
1. 2
How would we solve a question that asks :
Find the gradient and y- intercept for these lines
y = 2x -5
We use y = mx + c
The answer is m= 2 C= (0,-5)
The point with coordinates (4,k) lies on the line y = 2x - 5. Find the value of k
x. y
(4,k)
y= 2x -5
k = 2x4 -5
k = 3
