You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).
Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).
So at the point, it won't be too hard to find the correct region.
To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
Answer: y=5x/2 - 2.5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2.5-2.5)/(0-2)
m=-5/(-2)
m=5/2
y=mx+b
y=5x/2 + b
-2.5=5(0)/2 + b
-2.5=0 + b
b=-2.5
y=5x/2 - 2.5
<u>Let's solve this problem step by step</u>
<u />
| Given Equation
| Distributive Property of Multiplication over subtraction
| Subtraction Property of Equality
| Subtraction Property of Equality
| Division Property of Equality
<em>Definition of each property</em>:
- <u><em>Distributive Property of Multiplication over subtraction</em></u><em>: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.</em>
- <u><em>Subtraction Property of Equality</em></u>:<em> if the same value is subtracted from two equal sides, the differences remain the same</em>
- <u><em>Division Property of Equality</em></u><em>: if the same value is divided from two equal sides, the equation remains the same</em>
<em />
Hope that helps!
2. Addition POE(property of equality)
3. Add variables
4. Subtraction of integers
5. Division of integer
