Gradient of a line through two points

Difficulty Standard · Set gr0df0

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

What is in this set

The numbers in this set run from 1 to 24.
56% of them fall from left to right.
44% of them rise from left to right.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 78% 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 237 different ones, 99% — 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.