Answer:
The first answer, 3 times the square root of x squared is correct.
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
Answer:
f(n+1) = 13
Step-by-step explanation:
- We know that f(1) = 15
- So we can substitute this for f(n)-3
- With this:
- f(n+1) = f(1) -3
- f(n+1) = 15-2
- f(n+1) = 13
Get like terms together. you might have to move across the equals sign
3x-x=-6+82
2x=76
x=38