Max value of x is infinite and min value of x is 0
Answer:
Slope=-2/3, y-intercept=2, x-intercept=3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 2 units for every 3 units the independent variable increases."
When x increases by 3, y decreases by 2
So the slope = rate of change of y / rate of change of x = -2/3
Given h(0)=2, h(0)=m(0)+c=2
c=2
Combining slope and y-intercept, y=-2/3*x+2
x-intercept is when y=0
0=-2/3*x+2
2/3*x=2
x=2*3/2=3
x-intercept=3
Answer: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
Choice A is the answer
Why? Because we start with 4, which is denoted a_1 = 4, and because we multiply each previous term by -3 to get the next term (which is what the second row of choice A says).
