Find the slope-intercept equation of the line through the points (3,-2) and (3,5)

Question

Find the slope-intercept equation of the line through the points (3,-2) and (3,5)

Answer 1

To write the equation of a line that passes through two points we first need to determine the slope, m.

 

m = (y2-y1)/ (x2-x1)

    = 5-(-2)/3-3

    = 7/0...this indicates that the line is a vertical line. For a vertical line we write the equation in the form of x = a, where a is a point at which the line crosses the x-axis. In our case a = 3. Therefore, the equation of the vertical line that passes through the above two points can be written as

                                                                                                x = 3