Question

Write the linear equation in slope-intercept form for: (-3, 7) and (6, 7)

Answer 1

The slope (m) of the line given two points is derived as;

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \text{The points are A(-3,7) and B(6,7)} \\ m=(7-7)/(6-\lbrack-3\rbrack) \\ m=(0)/(6+3) \\ m=(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}`

The equation of the line with the two points given is

y = 7