Slope-Intercept Form of a Line - Problem 7

Parallel lines always have the same slope, and perpendicular lines have slopes that multiply to -1 (so they are opposite sign, reciprocal slopes.) Often we are given one line and a point not on that line, and asked to write the equation for a new line that contains the point and is either parallel or perpendicular to the given line. First, identify the slope of the given line, and whether your new slope will be the same (parallel) or opposite sign reciprocal (perpendicular.) Then use the given point in the point slope form of the equation y - y1 = m(x - x1) to write the equation for your new line. You may need to continue to simplify and solve for y in order to have your final result be in slope-intercept form.