Question

A line passes through the points (0, -2) and (0, 5). Is it possible to write an equation of the line in slope-intercept form? justify your answer

Answer 1

Consider what the slope of this line would be. Slope is rise/run; this line rises 7 (5 - (-2)) and runs 0 (0 - 0). This means that the slope would be 7/0. Dividing by zero is not possible, therefore, it cannot be written in slope-intercept form.