Equations of Parallel Lines Geometry SlopeIntercept Form y

Equations of Parallel Lines Geometry

Slope-Intercept Form y = mx + b m is the slope of the line b is the y-intercept

Point-Slope Form y – y 1 = m(x – x 1) (x 1, y 1) is any point on the line m is the slope of the line

Example Write an equation in slope intercept form for the following lines with the given information. Passes through (2, 3) and has a slope of 5.

Writing an Equation of a Line given a point and a slope Write an equation in slope intercept form for the following lines with the given information. 1. Passes through (4, 9) and has a slope of -2. 2. Passes through (20, 5) and has a slope of 3/10.

Example Write an equation of the line through each pair of points in slope-intercept form. (0, 3) and (-2, -1)

Writing an Equation of a Line given two points Write an equation of the line through each pair of points in slope-intercept form. a. (-7, 4) and (9, -4) b. (-2, 6) and (5, 6)

Are the lines parallel? y = 3 x + 6 y = -3 x + 6

Are the lines parallel? y = -2 x - 6 y = -2 x

Are the lines parallel? •

Are the lines parallel? y=2 y = -8

Are the lines parallel? x=4 y = -3

Are the lines parallel? x = 147 x = -11

Are the lines parallel? 5 y = -10 x - 8 2 x + y = 15

Writing an Equation of a Parallel Line n has the equation y = (-1/3)x – 1. Line m is parallel to n and passes through the point (3, 2). Write an equation in slope intercept form of line m.

Example Line a has the equation y = (2/5)x + 3. Line b is parallel to a and passes through the point (-5, 0). Write an equation in slope intercept form for line b.

Example Line a has the equation y = 3 x - 7 Line b is parallel to a and passes through the point (-2, 1). Write an equation for line b.