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.
Simplified Ratio: <u>3 : 2</u>
Birds / Cups
6 / 4
9 / 6
12 / 8
15 / 10
18 / 12
You need 12 cups of birdseed if you're expecting 18 birds this month.
Answer:
=4/5(N+7)N
Step-by-Step Explanation:
We move all terms to the left:
-(4/5(N+7)N)=0
Domain of the equation: 5(N+7)N)!=0
N∈R
We multiply all the terms by the denominator
-(4=0
We add all the numbers together, and all the variables
=0
N=0/1
N=0
