Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:
6 - 14 / -2 - 2
-8 / -4
2
The slope is two, so we immediately know the answer is either A or B.
Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...
My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
Let the four consecutive numbers be x, x+1, x+2, and x+3.
The sum of the four numbers is 54, therefore
x + (x+1) + (x+2) + (x+3) = 54
4x + 6 = 54
4x = 54 - 6 = 48
x = 12
Answer:
The four numbers are 12, 13, 14, and 15
Slope = rise/run =[y2-y1]/[x2-x1]
1) slope = [90 - 30] / [12 - 4] = 60 / 8 = 15/2
2) slope = [75 - 30] / [10 - 4] = 45 / 6 = 15 / 2
The slopps are equal.
0.30 meter is equal to 1 foot
The correct answer is C) 800,000 cubic meters.
The scale given is for the length, width or height of the model. In order to find the scale for the volume, we would cube this scale, since volume is a cubic measurement:
(1/200)³ = 1/8,000,000
Since the volume of the model is 0.1, we multiply this by 8,000,000 to find the volume of the actual dam:
0.1(8000000) = 800,000
