Answer:
Explanation:
Given:
[tex]y-2=\frac{1}{3}(x+6)[/tex]
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,
[tex]\begin{gathered} y-2=\frac{1}{3}(x+6) \\ \text{Simplify and rearrange} \\ y=\frac{1}{3}(x+6)+2 \\ y=\frac{1}{3}x+2+2 \\ y=\frac{1}{3}x+4 \end{gathered}[/tex]
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
[tex]\begin{gathered} y=\frac{1}{3}x+4 \\ 0=\frac{1}{3}x+4 \\ \text{Simplify} \\ \frac{1}{3}x=-4 \\ x=-12 \end{gathered}[/tex]
Therefore,
m=1/3
b=4
zero = x= -12
