First, you put the triangles in a ratio
Then, you ask yourself "what do I have to divide seven by to get 5" so you do 7.5/5 to get that answer (which is to divided by 1.5)
Then, on the other side, you divide 22.5 by 1.5 as well
1. Slope = rate of change
Shown on the graph, for 2016 there are 36 entries. For 2017, there are 40
Since it’s only one year
You can subtract 36 from 40
40 - 36 = 4
Solution: the slope is 4
2. Months increase the most, the lines which are steeper and going upward (since it’s increasing)
Solution: from 2015 to 2016
If a solution(s) exists y=y so we can say:
x^2-3x=-2x+2 add 2x to both sides
x^2-x=2 subtract 2 from both sides
x^2-x-2=0 factor
(x-2)(x+1)=0
So x=-1 and 2, using y=-2x+2 we find:
y(-1)=4 and y(2)=-2
So the two solutions occur at the points:
(-1,4) and (2,-2)
The slope-intercept form: y = mx + b
We have the slope m = 9, therefore: y = 9x + b.
Next. We have the table:
x | -5 | -2 | 1 | 3 | 4 |
y |-46|-19| 8 |26|35|
(1, 8) → x = 1, y = 8
substitute the values of x and y to the equation:
8 = 9(1) + b
8 = 9 + b |-9
b = -1
Answer: y = 9x - 1 → y-intercept is -1.
