At what point does the line Y = 2X + 6 intercept the Y-axis?

A. 2.
B. 8
C. -2
D. 1/6
E. 6

E. 6

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:

y = 2(0) + 6

y = 6

Therefore, our graph crosses the y-axis at 6.

6

Step-by-step explanation: The equation of this line is written in slope-intercept form which is more commonly known as y = mx + b form.

In this form, the m or the coefficient of the x term represents the slope

of the line and the b or the constant term represents the y-intercept.

We can see that the y-intercept is 6.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1