How do you write the equation of a line when given the slope and a point on the line?
Answer
The point-slope equation of a line is y - y1 = m(x - x1), where m is the slope and (x1 , y1 ) is the given point. For example if the given slope is -2 and the point is (1,3), then the equation is y - 3 = -2(x-1). If you want to simplify that equation, distribute the -2 to get y - 3 = -2x + 2 then add 3 to both sides of the equation to get y = -2x + 5. This puts the equation in slope-intercept form.