Answer:
y-3 = (1/4)x; 4y = -4x +14; y=4
Step-by-step explanation:
>First find the equation of function A
general equation of a line is y=mx+b
m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7) = 1/2
consider the point (-7,0)
0 = -7(1/2) +b
7/2 = b
Function A has the equation y= (1/2)x +7/2
>rewrite the equations to fit the standard form
y-3 = (1/4)x ; add 3 to both sides
y= (1/4) x +3
4y = -4x +14 ,divide by 4 both sides
y= -x + 7/2
y=4
> intercept less than A
y-intercept for function A , y= (1/2)x +7/2, is 7/2 =3.5
y-intercept for function y= (1/4) x +3 is 3
3 < 7/2, so the answer is y-3 = (1/4)x
> intercept equal to A
y-intercept for function A , y= (1/2)x +7/2, is 7/2
y-intercept for function y= -x + 7/2 is 7/2
7/2=7/2 , so the answer is 4y = -4x +14
> intercept greater than A
y-intercept for function A , y= (1/2)x +7/2, is 7/2 =3.5
y-intercept for function y=4 is 4
4 > 7/2
