A data table shows that as the input (x) increases by 1, the output (y) decreases by 7. When x is 0, y is –2. What is the equation for this function?
A.

y = 7x – 2
B.

y = 7x
C.

y = –7x – 2
D.

y = –7x + 2

Question

A data table shows that as the input (x) increases by 1, the output (y) decreases by 7. When x is 0, y is –2. What is the equation for this function?
A.
	
y = 7x – 2
B.
	
y = 7x
C.
	
y = –7x – 2
D.
	
y = –7x + 2

jamierox4ev3r · Answer

if y is -2 while x is zero, automatically we know that the y-intercept is -2, so B. is automatically ruled out.

jamierox4ev3r · Answer

but, as the input increases by one, the output decrease by 7.
Because it decreases, we know the slope is negative
This means it is -7

jamierox4ev3r · Answer

Put the two together, and your equation is -7x-2, which is C.

jamierox4ev3r · Answer

Does this make sense @cynthia_franco ?

anonymous · Answer

Yeah, way better than my teacher, thanks!