What is an equation of a line (in point-slope form) that passes through the points (-5,1) and (3,4)?

Answer 1

points (-5,1) and (3,4)

Point-slope form:

y-b = m(x-a), where m is the slope and a and b are the offsets.

You can start by finding the slope, which is (y1-y2)/(x1-x2)

m = (1-4)/(-5-3) = +3/8

Next, you can plug in m and the 2 given points to create 2 equations with the unknowns a and b.

Solve the pair of equations to get a and b.