Let's say for example you wanted to graph the linear equation 
At minimum, we'll need 2 points to form this line.
To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.
For example, replace x with 0 to find that...
Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.
Then we repeat this process for other x values. Let's try x = 1
Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.
We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.
Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.
Answer:
Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.
Step-by-step explanation:
Set up a system of equations.
Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.
Then:
You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":
Substitute 
into an original equation and solve for "b":
Answer:
∠F = 42°
Step-by-step explanation:
similar triangles have congruent corresponding angle measures.
so if ΔABC ~ ΔEFG, then ∠B corresponds with ∠F, so ∠F = ∠B
∠F = 42°
Answer:
C, D and E
Step-by-step explanation:
Given
Represent solid beads with S and clear beads with C
So:
Required
Select operations that give an equivalent ratio
First, we need to get the unit ratio
Divide through by 4
-- This means that, after any operation. The equivalent ratio must be 2: 5
Option A: Add 2 to S and 2 to C
Perform the operation
Divide through by 2
Option B: Subtract 8 from S and 6 from C
Perform the operation
Option C: Multiply S and C by 2
Perform the operation
Divide through by 8
Option D: Divide S and C by 4
Perform the operation
Option E: Multiply S and C by 18
Perform the operation
Divide through by 72
<em>From the calculations above, options C, D and E gave an equivalent of 2:5.</em>
