Writing Equations of Parallel and Perpendicular Lines

Writing Equations of Parallel or Perpendicular Lines

Open Ended

Where might you see parallel lines in the world around you?

Multiple Choice

What is the slope of a line parallel to $$y\ =\ \frac{2}{3}x\ +\ 4$$

• $$-\frac{3}{2}$$

• $$\frac{3}{2}$$

• $$\frac{2}{3}$$

• $$-1$$

1) Find the slope of the parallel line.
2) Find the y-intercept. (b)
Use y = mx + b and substitute in x, y and m.

3) Write the equation.

Multiple Choice

Write the equation of a line that passes through the point (1,5) and is parallel to the line

$$y\ =\ 3x\ -\ 5$$

• $$y\ =\ 3x+8$$

• $$y\ =\ 3x-14$$

• $$y\ =\ 3x\ +\ 2$$

• $$y\ =\ -\frac{1}{3\ }x\ +2$$

Multiple Choice

Which picture models a perpendicular relationship?

Multiple Choice

What is the slope of a line perpendicular to $$5x+2y\ =\ 10$$

• $$-\frac{5}{2}$$

• $$-\frac{2}{5}$$

• $$\frac{5}{2}$$

• $$\frac{2}{5}$$

Dropdown

When writing an equation of a line in slope-intercept form you need​ the ​

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and the​

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.

1) Find the slope of the perpendicular line.
2) Find the y-intercept. (b)
Use y = mx + b and substitute in x, y and m.

3) Write the equation.

Multiple Choice

Write the equation of a line that passes through the point (0,1) and is perpendicular to the line

$$2x+y\ =\ 3$$

• $$y\ =\frac{1}{2}x+1$$

• $$y\ =-2x+1$$

• $$y\ =\frac{1}{2}x-\frac{1}{2}$$

• $$y\ =\ -\frac{1}{2}x+1$$

Multiple Choice

Write the equation of a passing through the point (4,3) that is perpendicular to $$y\ =\ 2x\ +\ 1$$

• $$y\ =\ \frac{1}{2\ }x+1$$

• $$y\ =-\frac{1}{2}x\ +\ 5$$

• $$y\ =\ 2x-5$$

• $$y\ =\ -\frac{1}{2}x\ +\ 1$$