Question

Part 1: Write the equation of the line that passes through the points (–1, –4) and (2, 5) in point-slope form.

Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

Answer 1

First, you want to use the slope formula:
\[m=\frac{ y1-y2 }{ x1-x2 }\]
this will give you the slope for the line.

From there, you can use this slope in the point slope form:
\[y-y1 = m(x-x1)\]

The points do not matter, because both sets of points are on the line.