Parallel and Perpendicular Lines

What are Parallel Lines? Two lines in the same plane that intersect to form right angles. Two lines in the same plane that will never intersect, have the same slope. Two lines in different planes that will never intersect. Two lines in the same plane that intersect. What are perpendicular lines? Two lines in the same plane that will never intersect, have the same slope. Two lines in the same plane that intersect to form right angles. Two lines in different planes that will never intersect. Two lines in the same plane that intersect. Find the line that is parallel to the original. y= 2x-2 y=2x+1 y=-2x y= -2x+5 y= -1 y= -1 y= 1 y= 1 Find the line that is perpendicular to the original. y= 4x+2 y= -1 y= 4 y= -3 y= -3 y= 4 y= -4 y= 3 Day 2 Recap! Watch the video if you need a recap or get stuck. Fill in the blanks with the appropriate academic language. The first step in writing a parallel or perpendicular equation is to rewrite the given equation into slope-intercept form. Then, using the slope of the given equation to begin writing the new equation. If the new equation is parallel to the given equation, then the new slope is the same as the given slope. If the new equation is perpendicular to the given equation, then the new slope is the negative reciprocal of the given slope. Next, use the new slope and the given point to write the new equation. Write the equation of a line that passes through the point (2, -5) and is parallel to y= x + 5. y= x + 3 y= x - 7 y= x y= - x - 3 Write the equation of the line, in slope-intercept form, going through (-6, 0) and is perpendicular to 3x - 2y = -7. y = -3 x - 6 y = -2 x - 4 y = -2 x + 6 y = 3 x - 9 Write the equation of the line that passes through (1, -4) and is perpendicular to the line x = -7. y = -4 y = 1 x = 1 x = -4 Write the equation of the line that passes through (2, −5) and has an undefined slope. y = -5 y = 2 x = 2 x = -5