Question

What is the y-intercept of 2g(x)+3x=6?

A.) (0,3)
B.) (0,6)
C.) (0,2)
D.) (0, -3/2)

Answer 1

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Explanation:

Answer 2

The y-intercept is basically the value of the output of the function, g(x), when x=0.

Let's replace g(x) with the variable y to make this look a bit simpler.

2y + 3x = 6

Now, we enter the value of x=0 to get the y-intercept.

2y + 0 = 6

2y = 6

Divide both sides by 2

y = 3

The value of y is 3. Now enter the values of x=0 and y=3 into point-form (x,y) to get (0,3). You should know which answer choice to choose now.

Have an awesome day!