Answer:
y = -4x +2
Step-by-step explanation:
As x-values increase by 1, y-values decrease by 4. The slope of the line is ...
... m = (change in y)/(change in x) = -4/1 = -4
We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...
... y = m(x -h) +k
using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...
... y = -4(x -1) -2
... y = -4x +4 -2 . . . . eliminate parentheses
... y = -4x +2 . . . . . . slope-intercept form
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<em>Alternate approach</em>
After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:
... y = -4x +2
The answer is 114.5%.
Let the original population be denoted by x.
Now, let's go through the percentage increase per year.
<u>Year 1</u>
<u>Year 2</u>
- 1.2x (1 + 25%)
- 1.2x (1.25)
- 1.5x
<u>Year 3</u>
- 1.5x (1 + 30%)
- 1.5x (1.3)
- 1.95x
<u>Year 4</u>
- 1.95x (1 + 10%)
- 1.95x (1.1)
- 2.145x
Overall increase : 214.5% - 100% = 114.5%
Hence, the overall percentage increase in these 4 years is 114.5%.
Y=2x-10
Y=4x-8
U substitute it and it turns into 2x-10 =4x-8
U get x=-1
Y=4*(-1)-8
Y=-12
(x,y)= (-1,-12)
If u have a phone u can use photo math or if u don’t there’s a thing called mathpapa
