Answer:
C. Equation: x=4
D. Slope: undefined
Step-by-step explanation:
If a line is perpendicular to the x-axis, then it is a vertical line because the x-axis is horizontal.
The slope of a vertical line is undefined.
The equation of a vertical line through 
is 
Since the vertical line passes through (4,-2), its equation is
Answer: Nathan has a proportional relationship between cost and item
Step-by-step explanation:
Using Margareta's statement we will say that if you buy 1 cookie you pay 50 cents and if you by 5 cookies you will pay $2
To find out how much you will pay for one cookie by using the 5 cookies $2 statement we will divide 2 by 5
2/5 = 0.4 which means you pay 40 cents for 1 cookie and that is not equivalent to paying 50 cents per cookie so Margereta method is not proportional.
Nathan sells freshly picked strawberries for $2 per pound and $10 for 5 pounds. Now we want to know how much you have to pay per pound if you were to buy 5 pounds to $10 .
Divide 10 by 5 to find out how much you will pay per pound.
10/5 = 2
So Nathan is selling his strawberries at a proportional rate which is $2 per pound.
Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4
Answer: The two events are independent
Explanation:
Since the king was placed back in the deck and the deck was re-shuffled,
the drawing of a king does not effect the probability of subsequently drawing a queen.
