Answer:
y = -2x
Step-by-step explanation:
Equation in slope-intercept form is y = mx + b.
m = slope = ∆y/∆x
Using any two points on the line, say (0, 0) and (-20, 40),
Slope (m) = (40 - 0) / (-20 - 0) = 40/-20
Slope (m) = -2
b = y-intercept = the value of y when x = 0.
b = 0
To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b
Thus:
y = -2x + 0
y = -2x
Answer:
-1/6 and 1 1/6
I included an image showing the points to select, in red and the point we start at, in blue.
Step-by-step explanation:
We need to get the numbers they tell us (2/3 & 1/2) to have the same denominators as the numbers on the number line before we can start.
1/2 is just the simplified form of 3/6 and 2/3 is just the simplified form of 4/6.
So 1/2 is actually 3/6 on the number line.
Now we need to find the numbers that are 2/3 (or 4/6) unit away from 3/6.
Count 4 units to the right and 4 to the left of 3/6 to get the numbers we are looking for.
These numbers are -1/6 and 1 1/6
I hope this helps!!
Lmk if u have any questions! :)
Pic is attached below.
It arised either by the death of the previous king or by overthrowing previously known monarchy
Answer:
Substitution Property
Step-by-step explanation:
So we know that:

And we also know that:

And by using a specific property, we get that:

Essentially, we <em>substituted</em> B for A.
So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.
Answer:
John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.
Step-by-step explanation:
Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:
3.5x + 2x = 46.75, where the coefficients equals the amount of hours.
Let's solve for x!
5.5x=46.75
x = 46.75/5.5 = 17/2 = 8.5
John and Pam are paid 8.5 dollars per each hour worked.
To figure out John's share of the money, we will multiply the wage by the hours he worked.
8.5 x 3.5 = 29.75