Answer:
slope = - ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, - 2)
m =
=
= - ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
1. If a and b vary inversely and b = 8 when a = 6:
b = k/ a
8 = k / 6
k = 6 * 8
k = 48
Function is:
b = 48 / a
2. When a = 30:
b = 48 / 30 = 8/5
b = 1.6
The answer is 3. if 81 balls are divided equally into 3 groups there would be 27 balls in each group.
Answer:
y = x + 3 or y = 1x + 3
Step-by-step explanation:
Since we're just going to find the equation (assuming it's slope-intercept form, which is <em>y = mx + b</em>), our jobs will be relatively simple!
Let's start with the first step and identify the y-intercept, which is the easiest step.
That will be (0,3), as the line intercepts the y-axis there.
Next, let's find the slope of the line using
or
. Just be careful when using
that you correctly identify the scale the axis' are using.
For now, I'll use
. Let's pick two points... (0,3) and (1,4).
—>
= ![\frac{1}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1%7D)
This will be our slope, 1.
We now have our answer, y = 1x + 3.
Hope that helped!