Scientists discovered a large star 500,000 light-years from Earth. A light-year is about 5,880,000,000,000 miles. What is the di
1 answer:
You might be interested in
Answer:
Nate is in Group 2.
Step-by-step explanation:
Total number of students is 24.
These 24 students are divided equally among 4 groups.
Compute the number of students in each group:
Number of students in each group
Thus, there will be 6 groups.
Now the students are numbered with the first student in the first group numbered as 1.
The groups will be:
Group 1: 1, 2, 3, 4, 5, 6
Group 2: 7, 8, 9, 10, 11, 12
Group 3: 13, 14, 15, 16, 17, 18
Group 4: 19, 20, 21, 22, 23, 24
It is provided that Nate is the 11th student.
Then Nate is in group 2.
The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables (and the coordinate points on the graph).
Remember that for parallel lines, the slope, m, is the same for both equations. The equation you're given, y = 2x - 2, is already in slope-intercept form and the 2 in front of x is m, your slope. That means for whatever equation we come up with, m has to be 2.
So far we know the equation for our parallel line is y = 2x + b. How do we figure out b? Plug in the (x, y) coordinate you're given, (1, 1) and solve for b:
Now we know b = -1. Put that into our y = 2x + b equation to get the final equation of your parallel line:
Your final answer is y = 2x - 1.
Remember that for parallel lines, the slope, m, is the same for both equations. The equation you're given, y = 2x - 2, is already in slope-intercept form and the 2 in front of x is m, your slope. That means for whatever equation we come up with, m has to be 2.
So far we know the equation for our parallel line is y = 2x + b. How do we figure out b? Plug in the (x, y) coordinate you're given, (1, 1) and solve for b:
Now we know b = -1. Put that into our y = 2x + b equation to get the final equation of your parallel line:
Your final answer is y = 2x - 1.