Answer:
[tex]$y=\frac{1}{7}x+\frac{4}{7}$[/tex]
Step-by-step explanation:
First, let's define our points:
[tex]$(x_1,y_1)=(-4,0)$[/tex]
[tex]$(x_2,y_2)=(10,2)$[/tex]
Then, calculate the slope:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{2-0}{10-(-4)}$[/tex]
[tex]$m=\frac{2-0}{10+4}$[/tex]
[tex]$m=\frac{2}{14}=\frac{1}{7}$[/tex]
Finally, use the point-slope form:
[tex]$y-y_1=m(x-x_1)$[/tex]
[tex]$y-0=\frac{1}{7}[x-(-4)]$[/tex]
[tex]$y-0=\frac{1}{7}(x+4)$[/tex]
[tex]$y=\frac{1}{7}x+\frac{4}{7}$[/tex]
