Answer:
y = (2/3)x + 1/3
Step-by-step explanation:
Check that a single straight line will actually go through all four of these points. Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3. Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).
Let's find the slope-intercept form of the equation of this line: y = mx + b
Arbitrarily choose the point (1, 1). Here x = 1, y = 1 and m = 2/3. Then
we have
1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.
The equation in question is y = (2/3)x + 1/3
Answer:
For me
Step-by-step explanation:
I think it's part to whole because you are comparing holiday celebrated to total students
The equation for point-slope is y-yi=m(x-xi).
In your given problems, you would use the given coordinate and plug in the x for xi and the y coordinate for yi. The y and x are left alone ( this is how you solve for y=mx+b).
Ex. #1: (2,2) m=-3
Equation: y-yi = m(x-xi)
y-2 ( y coordinate) = -3(x-2)(the x coordinate).
Simplify y-2 = -3x+6 —> y=-3x+8
Answer:
1.
- Gabe earns 13.5 per hour
2.
x ------------------ 4 ---- 8 --------- 12 ------ 16
Earnings ----- 57 ---- 111 ------- 165------ 219
Step-by-step explanation:
See attachment for complete question
Solving (a): Gabe's earnings per hour,
To do this, we simply calculate the slope (m) of the table.
Where
Hence, Gabe earns 13.5 per hour
Solving (b): Jordan earnings
First, we calculate the equation of Gabe's table using:
Where
and
If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;
When x = 4
When x = 8
When x = 12
When x = 16
5. We add all the freshman, 92 + 86 = 178.
6. We add all the sophomores surveyed, 116 + 52 = 168,
7. We add the numbers under the "yes" category, 92 + 116, which is 208.
8. We add the numbers under the "no" category, 86 + 52, which is 138.
11. A marginal frequency is the total of freshman, 222, and the total sophomores are 192. The marginal frequency of freshman are greater than that of the sophomores.
(there is no #9, #10, or a table for #12)