Question

y = mx + b. D Evaluate Read two students' answers to a math problem. Emma: y = 10 - 2x is not a linear Georgia: y = 10 - 2x is a linear function function because the graph has a because it can be written in the form negative rate of change. y = 10 - 2x y = 10 + (2x) Subtracting a positive is the same as adding a negative. 30 8 6 y = -2x + 10 commutative property 4 2 Who do you agree with? Explain why.

Answer 1

Lorin, this is the solution:

I agree with Georgia.

Her equation is correct because:

y = mx + b

y = 10 - 2x

y = -2x + 10

m = -2 (slope)

When x = 0, y = 10

When y = 0, x = 5

The linear equation is y = -2x + 10