Gradient & Straight Lines

Question 1

True or false: The gradient of a horizontal line is zero.

Answer 1

True

Question 2

Fill in the blank: The gradient of a vertical line is ________.

Answer 2

Undefined

Question 3

Which direction does a line with a positive gradient slope?

Answer 3

Upwards from left to right

Question 4

What is the gradient of a line parallel to the x-axis?

Answer 4

Zero

Question 5

True or false: A line with a gradient of 2 is steeper than a line with a gradient of 1.

Answer 5

True

Question 6

What is the gradient of a line parallel to the y-axis?

Answer 6

Undefined

Question 7

True or false: The gradient is the same as the slope of a line.

Answer 7

True

Question 8

True or false: The gradient of a line can never be negative.

Answer 8

False

Question 9

If a line has a gradient of 0, what is the slope of the line?

Answer 9

0

Question 10

What is the gradient of a line that is parallel to the y-axis?

Answer 10

Undefined

Question 11

How do we calculate a gradient

Answer 11

M = y2 - y1
————
x2 - x1

Question 12

If a lines gradient is zero what kind of line is it?

Answer 12

Horizontal

Question 13

If a lines gradient is undefined what kind of line is it?

Answer 13

Vertical

Question 14

What does C stand for?

Answer 14

The y- intercept

Question 15

What does M stand for

Answer 15

Gradient

Question 16

If the question asks you
“Find the gradient of the line joining points (-,-) and (-,-)”
What equation would you use?

Answer 16

M = y2 - y1
———
x2 - x1

Question 17

How do we find the equation of a straight line if we are given the y- intercept (0,C)

Answer 17

Y = mx + c

Question 18

What are parallel lines?

Answer 18

Lines that will never meet, and consequently have the same gradient

Question 19

“Find the gradient of line passing through the point (0,6) with gradient m = 5“
what equation would we use to solve this?

Answer 19

Y= mx + C

Question 20

What do we do if we are asked to sketch a line?( method)

Answer 20

We use a table of value x. Y
1. 2

Question 21

How would we solve a question that asks :
Find the gradient and y- intercept for these lines
y = 2x -5

Answer 21

We use y = mx + c
The answer is m= 2 C= (0,-5)

Question 22

The point with coordinates (4,k) lies on the line y = 2x - 5. Find the value of k

Answer 22

x. y
(4,k)

y= 2x -5
k = 2x4 -5
k = 3