Which function has the greatest starting value?

A.
x y
1 −3
2 −8
3 −13

B.
y = 3x – 8

C.
8x + 4y = 16

D.
A linear function that goes through point 2, 0 and point 0, 2

Question

Which function has the greatest starting value?
 
 A.
x	y
1	−3
2	−8
3	−13
 
 
 B.
y = 3x – 8
 
 C.
8x + 4y = 16
 
 D.
   A linear function that goes through point 2, 0 and point 0, 2

anonymous · Answer

@iGreen

igreen · Answer

It's asking for the greatest y-intercept.

igreen · Answer

It says that D goes through the point (0, 2), which is the y-intercept..2.

igreen · Answer

y = 3x – 8

Do you know what the y-intercept of this is(the number after 'x')?

anonymous · Answer

8?

igreen · Answer

No, almost..it's -8, because 8 is being subtracted.

anonymous · Answer

o

igreen · Answer

8x + 4y = 16

Change it to slope-intercept form:

Subtract 8x to both sides:

4y = -8x + 16

Divide 4 to both sides:

y = -2x + 4

What's the y-intercept of this one?

anonymous · Answer

-2

igreen · Answer

Yep. And the y-intercept of A is 0.

So:

A is 0
B is -8
C is -2
D is 2

So which one is greatest?

michele_laino · Answer

I think, you have to evaluate the value of the functions of your exercise, at point x=1.
Please, you have to write the form of linear function, in order to that, we can write:
$$f(x)=ax+b$$, and to determine the constants a, and b, using the coordinates of the two points that you have indicated in your problem

anonymous · Answer

sorry its D

igreen · Answer

Yep, you got it.