The slope (m) of the line given two points is derived as;
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{The points are A(-3,7) and B(6,7)} \\ m=\frac{7-7}{6-\lbrack-3\rbrack} \\ m=\frac{0}{6+3} \\ m=\frac{0}{9} \\ m=0 \\ \text{With the value of the slope given as 0, b now becomes;} \\ y=mx+b \\ 7=0(-3)+b \\ 7=0+b \\ b=7 \\ \text{With the values of m (slope) and b (y-intercept) now known} \\ y=mx+b \\ y=0(x)+7 \\ y=7 \end{gathered}[/tex]
The equation of the line with the two points given is
y = 7
