Answer:
y = 2x - 1
Step-by-step explanation:
The given line is y = 2x - 6.
It is in the y = mx + b form, where m is the slope, so its slope is 2.
We need a line that passes through point P(3, 5) and has slope 2.
y = mx + b
Put the slope in m.
y = 2x + b
Use the given point with x = 3 and y = 5 and solve for b.
5 = 2(3) + b
b + 6 = 5
b = -1
The equation is
y = 2x - 1
If you would like to know how many centimeters should you cut off, you can calculate this using the following steps:
1 1/2 meters = 3/2 meters = 1.5 meters = 150 centimeters
250 centimeters - 1 1/2 meters = 250 centimeters - 150 centimeters = 100 centimeters = 1 meter
The correct result would be 100 centimeters.
Step-by-step explanation:
<em>In the second column, we can see that every value of n is being added by 6. </em>
- Thus, the expression is n + 6.
<em>Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.</em>
<u>When n is 12:</u>
- n + 6 = 18
- 12 + 6 = 18
- 18 = 18
<u>When n is 15:</u>
- n + 6 = 21
- 15 + 6 = 21
- 21 = 21
<u>When n is 21:</u>
- n + 6 = 27
- 21 + 6 = 27
- 27 = 27
<em>Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.</em>
<u>Finding n + 6 when n is 28:</u>
- n + 6 = x
- 28 + 6 = x
- 34 = x
Thus, the missing value in the table is 34.
Answer:
3.25
Step-by-step explanation:
The slope formula is slope = y2 - y1 / x2 - x1 and the variables are found by assigning them with their corresponding values. Here, x1 = -9, x2 = -13, y1 = 18, and y2 = 5. Next, substitute these values in and get 5 - 18 / -13 - (-9). This can fully simplify to 13 / 4 or 3.25.
