Question

Please help me solve question 4 on my algebra homework

Answer 1

Step-by-step explanation:

Given:

`y-2=(1)/(3)(x+6)`

To find the value of slope or m, we simplify the given equation in to slope-intercept form:

y=mx+b

Where:

m=slope

b= y-intercept

So,

`\begin{gathered} y-2=(1)/(3)(x+6) \\ \text{Simplify and rearrange} \\ y=(1)/(3)(x+6)+2 \\ y=(1)/(3)x+2+2 \\ y=(1)/(3)x+4 \end{gathered}`

Based on our simplified equation, the value of m=1/3 while b=4.

For the zero value, it is where the equation equals to zero:

Let y=0

`\begin{gathered} y=(1)/(3)x+4 \\ 0=(1)/(3)x+4 \\ \text{Simplify} \\ (1)/(3)x=-4 \\ x=-12 \end{gathered}`

Therefore,

m=1/3

b=4

zero = x= -12