Question

what is the equation of the line that passes through the points (3,4) and (-1,5)

Answer 1

slope of the line = \[\frac{y2-y1}{x2-x1}\]

Answer 2

let m be the slope of a line
\[m=\frac{y2-y1}{x2-x1}\]

y=mx <--- is that line that goes through the origin
you can displace that line by some y value and x so that its not going through the origin with that slope but its going through one of your points