Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula

. Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have

as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m, and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be

Feel free to ask further questions!
Answer:
we plot first the data and find the equation. The equation is c(x) = 7x2 - 3x + 5. when x is equal to 5, then c(x) is equal to $165
Step-by-step explanation:
Answer:
<em>The length of the actual ship is 125 meters.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.
A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.
The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.
The length of the actual ship is 125 meters.
Answer:
3x+2x=5x but 4 can't add to 3x and 2x
Standard form:
Y - 0= 1(x - 1)
Y - 0= x - 1
-x+y= -1
- (-x+y= -1)
Answer:
x-y=1
Slope-Intercept form:
Y - 0= 1(x-1)
Y - 0 = x - 1
Answer:
Y= x-1