Whoever can answer this, you’re a lifesaver and my heart goes out to you! will award you with as much as i can.
“select all the equations that have graphs with the same y-intercept.”
a. y=3x-8
b. y=3x-9
c. y=3x+8
d. y=5x-8
e. y=2x-8
f. y=1/3x-8
i

a. y = 3x - 8

d. y = 5x - 8

e. y = 2x - 8 and

f.

Step-by-step explanation:

The equation in the form y = mx + c is known as the slope-intercept form of a straight line equation and the value of c with sign denotes the y-intercept of the straight line on the coordinate plane.

Now, given are few straight line equations in slope-intercept form and we have to choose from then those have the same y-intercept.

a. y = 3x - 8

d. y = 5x - 8

e. y = 2x - 8 and  

f.  

Those all equations have the same y-intercept which is - 8. (Answer)

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