Question

Which equation is linear?

a
xy = 60

b
y + 1 = x

c
3x – 2y = 5

Answer 1

b and c

Explanation:

They both follow the formula of a linear function: y = mx + c, where m is the gradient and c is the y-intercept.

When you rearrange:

a. y = 60/x (this is a reciprocal function)

b. y = x - 1 (says that this linear function has a gradient of 1 and cuts the y-intercept at (0,-1))

c. y = 3x/2 -5/2 (says that this linear function has a gradient of 3/2 and cuts the y-intercept at (0, 5/2))

Answer 2

equation B is linear. A linear equation will not contain exponents.

Explanation: