Answer
Slope-intercept: most useful when given two points on a line
Point-slope: most useful when given one point and a slope
Standard form: most useful when given an equation that has fractions
Work Step by Step
A slope can be calculated given two points, and this is when slope-intercept form is most useful. However, if there are fractions in the equation, then standard form can be used to make the fractions integers. Point-slope is useful when only one point and the slope are provided.