What is an equation of a line (in point-slope form) that passes through the points (0,1) and (2,2)?

Answer 1

Point slope form is y - y₁ = m(x - x₁).

Calculate m, the slope, by rise/run = (2 - 1)/(2 - 0) = 1/2

Then you could plug in either point into the poin slope form equation 2 lines up, and obtain

y - 1 = 1/2(x - 0) which simplifies to y - 1 = (1/2)x or, using the other point,

y - 2 = 1/2(x - 2)

Both of the equations can be verified by plugging x and y values of both points into both equations