I'll assume you need to find the equation of the line that passes through those points.
Answer:
[tex]\displaystyle y-2=\frac{1}{4}(x+4)[/tex]
Step-by-step explanation:
Equation of a Line:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given points are (-4,2) and (12,6), thus:
[tex]\displaystyle y-2=\frac{6-2}{12+4}(x+4)[/tex]
Operating:
[tex]\displaystyle y-2=\frac{4}{16}(x+4)[/tex]
Simplifying, the equation in point-slope form is:
[tex]\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}[/tex]
