Question

y = 6x y = x + 6 y=x²+6 y = 2x + 6 5 Which of these equations are linear functions that go through the point (0, 6)? Explain your reasoning.

Answer 1

The first function is y = 6x.

This function is linear because its variable has 1 as an exponent.

Also, this function represents a straight line that doesn't pass through (0, 6), let's prove it.

$y=6(0)=0$

As you can observe, when x = 0, y = 0.

However, the second function y = x + 6 is a line that passes through (0,6) because it satisfies the equation. Let's prove it.

$y=0+6=6$

When x = 0, y = 6.

Therefore, the right answer is B. y = x + 6.