Linear function — Grade 7 Math, what it means and where it is taught
One whose graph is a straight line: y = mx + b.
Taught in Grade 7 Math.
Where it is taught
Practise this idea
3 questions in the course bank use Linear function, in Functions, Writing & Transforming Linear Functions.
Problem 1
Is y = x2 a linear function?
- Yes
- No
Worked answer
No
x = 1, 2, 3 gives y = 1, 4, 9
Jumps are +3 then +5 — not constant
So it is not linear.
Problem 2
Which table shows a linear function?
- y = 2, 4, 8, 16
- y = 3, 7, 11, 15
- y = 1, 4, 9, 16
- y = 5, 6, 8, 11
Worked answer
y = 3, 7, 11, 15
3, 7, 11, 15 jumps by 4 every time — linear
The others double, or jump by changing amounts.
Problem 3
For f(x) = 7x - 3, what is the rate of change?
Worked answer
7
m = 7