Parallel and Perpendicular Lines, Equations, Through a Point

How do we write equations in point- slope form?

• (y - y₁) = b (x - x₁)

• (y - y₁) = m (x - x₁)

• y = mx + b

• y = bx + m

Parallel lines have the same...

• Slope

• y-intercept

• They don’t have the same of anything.

• Nothing, but their slopes are opposite reciprocal.

Perpendicular lines have...

• the same slope

• the same y-intercept

• They don’t have the same of anything.

• opposite reciprocal slopes.

What is the ‘m’ in (y - y₁) = m (x - x₁)?

• The y- intercept

• The slope

• It stands for “math”

• A point

Write the equation of the line that is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

Mathematical Equivalence

ON

Which equation is parallel to: y = 5/7x +2

• y = -7/5x +1

• y = 7/5x +4

• y = -5/7x -3

• y = 5/7x +5

Graph a line that is Perpendicular to the line shown and goes through point (6, 7).

Sadie graphed the equations y = 4 and y = -7. These lines are ​ (a)   and their slopes equal ​ (b)   .

• parallel

• perpendicular

• opposites

• zero

• undefined

Write the equation of the line that is parallel to graph of y= -1/2 x + 8 and passes through the point (4,1).

In a coordinate plane two nonvertical lines are ​ (a)   if the product of their slopes are -1

• perpendicular

• parallel

• horizontal

• vertical

• acutely intersecting