To find the value of y, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 1/4, we have: y = (1/4)x + b
We can use the point (10, -1) to find the value of b:
-1 = (1/4)(10) + b
-1 = 10/4 + b
-1 = 5/2 + b
To find b, we can subtract 5/2 from both sides:
-1 - 5/2 = b
-2/2 - 5/2 = b
-7/2 = b
Now we can substitute the value of b back into the equation to find y:
y = (1/4)x + (-7/2)
Using the other point (6, y), we have:
y = (1/4)(6) + (-7/2)
y = 6/4 - 7/2
y = -3/2 - 7/2
y = -10/2
y = -5
So, the value of y is -5.
The pair of points (6, y) and (10, –1) lie on a line with slope1/4 . What is the value of y?
(1 point)
Responses
–5
–5
–2
–2
2
2
5
5
Skip to navigation
5 answers
What is the slope of a vertical line?
(1 point)
Responses
–1
–1
0
0
1
1
undefined
undefined
Skip to navigation
(1 point)
Responses
–1
–1
0
0
1
1
undefined
undefined
Skip to navigation
The slope of a vertical line is undefined.
Question
The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Also, explain what the rate of change means for this situation.
People
Cost ($)
2
110
3
165
4
220
5
275
(1 point)
Responses
Image with alt text: The fraction one fifty fifth.
Image with alt text: The fraction one hundred ten over one.
Image with alt text: The fraction one over two hundred seventy five
Image with alt text: The fraction fifty five over one.
Skip to navigation
The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Also, explain what the rate of change means for this situation.
People
Cost ($)
2
110
3
165
4
220
5
275
(1 point)
Responses
Image with alt text: The fraction one fifty fifth.
Image with alt text: The fraction one hundred ten over one.
Image with alt text: The fraction one over two hundred seventy five
Image with alt text: The fraction fifty five over one.
Skip to navigation
To find the rate of change, we can calculate the difference in cost and divide it by the difference in the number of people.
The difference in cost between 2 people and 5 people is 275 - 110 = 165.
The difference in the number of people is 5 - 2 = 3.
Therefore, the rate of change is 165/3 = 55.
The rate of change in this situation represents the increase in cost per person as the number of people increases. In other words, for every additional person added to the fishing charter boat, the cost per person increases by $55.
The difference in cost between 2 people and 5 people is 275 - 110 = 165.
The difference in the number of people is 5 - 2 = 3.
Therefore, the rate of change is 165/3 = 55.
The rate of change in this situation represents the increase in cost per person as the number of people increases. In other words, for every additional person added to the fishing charter boat, the cost per person increases by $55.