Gradient of a line through two points

Difficulty Starter · Set wul0k8

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1
What is the slope of the line through (-6, -7) and (-3, -4)?
2
What is the slope of the line through (4, 3) and (5, 6)?
3
What is the slope of the line through (2, 5) and (3, 6)?
4
What is the slope of the line through (-2, -2) and (1, 4)?
5
What is the slope of the line through (5, 2) and (9, 6)?
6
What is the slope of the line through (6, 3) and (9, 6)?
7
What is the slope of the line through (4, -8) and (5, -4)?
8
What is the slope of the line through (-1, -4) and (1, 2)?
9
What is the slope of the line through (0, 3) and (1, 6)?
10
What is the slope of the line through (-2, -5) and (-1, -2)?
11
What is the slope of the line through (2, -6) and (4, 0)?
12
What is the slope of the line through (4, -2) and (5, -1)?
13
What is the slope of the line through (-5, -4) and (-4, 0)?
14
What is the slope of the line through (-3, 6) and (0, 18)?
15
What is the slope of the line through (-4, 4) and (-3, 6)?
16
What is the slope of the line through (1, 1) and (3, 3)?
17
What is the slope of the line through (0, 6) and (4, 22)?
18
What is the slope of the line through (-1, -8) and (0, -4)?
19
What is the slope of the line through (-4, 0) and (-1, 12)?
20
What is the slope of the line through (-2, -2) and (-1, -1)?

What is in this set

The numbers in this set run from 1 to 24.
Every problem in it will rise from left to right.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 70% of the problems: the change in x was put over the change in y; the slope is the rise over the run.
Answers are a fraction in its lowest terms, written like 3/4.

Drawing 240 problems from this page produced 231 different ones, 96% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.