Verified answer

the web page (below) discusses Finding Equations of Lines

There are two formulas that can be used to find the equation of a line. One is the slope-intercept formula which can be solved for m and b. The other is the point-slope formula. Since this seems to be the method used in most modern textbooks, it is the one that will be demonstrated here.

Key Idea

A key point to remember when asked to find the equation of a line is that you will always need the slope and a point on the line. No matter what information is given, there will be some way to determine the slope and a point on the line. Keeping that in mind helps you focus on the key concepts for finding equations of lines no matter how different the problems may look. Always find the slope and a point and plug them into the point-slope formula to get the equation of the line.

with examples and more

x - 2y = -5

put both points in all equations and then check that the point satisfies the equation or not.

if it does then it passes through the point