Equations of lines come in three forms:
Slope-intercept form: y = mx + b where m is the slope and b is the y-intercept. Useful for graphing.
Slope-intercept form: y = mx + b where m is the slope and b is the y-intercept. Useful for graphing.
Point-slope form: 
where m is the slope and (x1, y1) is any point on the line. Useful for writing the equation.
where m is the slope and (x1, y1) is any point on the line. Useful for writing the equation.Standard form: Ax + By = C which is useful for quickly finding intercepts.
Example: These are ALL equations of the line with slope -3/4, with y-intercept 7, which goes through the point (-4, 10):
4y + 3x = 28
And this is its graph: 
Recall:
The slope of a line that goes through the points (A, B) and (C, D) is
The slope of a line that goes through the points (A, B) and (C, D) is
The slope of a horizontal line is 0.
The slope of a vertical line is undefined.
Parallel lines have the same slopes.
Perpendicular lines have slopes that are opposite sign reciprocals.
Example Problems: 
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