Question

I need to know where are the unit rates for function one and function two

Answer 1

Hello! Let's find each of the unit rates.

We can write an equation as: y = mx+n, where:

• m, = angular coefficient (slope)

,

• n, = linear coefficient (y - intersection)

Function I:

According to the information below, we can find it just looking to function I, look:

$y=\frac{1}{4}x+2$

So, m = 1/4 and n = 2.

Function II:

Now, let's calculate it in the graph. First, we need to know the formula below:

$m=\frac{y_2-y_1}{x_2-x_1}$

Now, let's observe the graph and get two cartesian points on which that line passes.

I'll use: (x1, y1) = (-3, -1) and (x2, y2) = (3, 3).

So, let's replace the values in the formula:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{3-(-3)_{}}{3_{}-(-1)_{}}=\frac{3+3}{3+1}=\frac{6}{4}=\frac{3}{2} \end{gathered}$

n is the value of y when x=0, so n = 1 and m = 3/2