Slope
Parallel and Perpendicular Lines
Slope Intercept Form
Determine if lines are parallel, perpendicular or neither
Point-Slope form of Equation
100
Define slope.
rise/run or a rate of change
100
Fill in the blank.
Parallel lines have the ________ slope. Perpendicular lines have ______________ _____________ slopes.
same slope and opposite reciprocal slopes
100
What is the equation for slope intercept form?
y=mx+b
100
Determine if the equations are parallel, perpendicular or neither.
y = 3x + 1
6x - 2y = 10
parallel
100
What is the equation for Point-Slope Form?
y - y1 = m(x - x1)
200
What is the formula for slope?
m = y2 - y1 / x2 - x1
200
Write the equation of the line parallel to y=x-2 and passing trough (1,-2). Leave your answer in point-slope form.
y+2=1(x-1)
200
Write the equation with a slope of 6 and y-intercept of -8.
y=6x-8
200
Determine if the equations are parallel, perpendicular, or neither.
10x + 4y = -4
8x - 20y = 60
Perpendicular
200
Write the equation of the line in Point-Slope Form:
(3, 7); slope = - 2
y - 7 = -2(x -3)
300
Find the slope using the graph.
m=3
300
Write the equation of the line perpendicular to y=-2/3x+4 and passing through (-2,4). Leave your answer in point-slope form.
y-4 = 3/2(x+2)
300
Write the equation of a line with slope -2 and y-intercept 0.
y=-2x
300
Determine if the equations are parallel, perpendicular, or neither.
8x -18y = 36
9x - 4y =28
Neither
300
Write the equation in Point-Slope form:(
(-3, 5); slope = - 1/2
y - 5 = -1/2(x + 3)
400
Find the slope between the two points (0,5) and (6,1).
m=-2/3
400
Write the equation of the line that is parallel to y=-x-5 and passing trough (3,-1). Solve your equation for y.
y=-x+2
400
Graph the equation y=2x-2.
straight line with y-in -2 and slope 2/1
400
Given the ordered pairs, determine if line JK and line LM are parallel, perpendicular, or neither.
J(13, -9), K(8, 1)
L(-10, 9), M(-7, 3)
Parallel
400
Write the equation in Point-Slope form:
(-3, 5) and (-8, -15)
y - 5 = 2(x + 3) OR y + 15 = 2(x + 8)
500
Find the slope between the two points (2,4) and (-1,-4).
m=8/3
500
Write the equation of the line that is perpendicular to y=-x+2 and passing trough (3,-1). Solve your equation for y.
y=x - 4
500
Graph the equation y=-x+1.
straight line with y-int at 1 and slope -1/1
500
Given the ordered pairs, determine if line AB and line CD are parallel, perpendicular, or neither.
A(-8, 3), B(-12, -2)
C(-7, -3), D(-2, -7)
Perpendicular
500
Write the equation of the line in Point-Slope form:
(2, 4) and (6, 8)
y - 4 = (x - 2) OR y - 8 = (x - 6)