Writing Linear Equations
Point slope form of equation given a slope of -4, passing through (-5,2)
(y-2) = -4(x+5)
Point slope form of equation given a slope of 1/5, passing through (4,2)
(y-2) = 1/5(x-4)
negative reciprocal of 5
-1/5
The slope of a line passing through (0,-4) and (5,6)
-2/5
negative reciprocal of 1/4
-4
negative reciprocal of 4/5
-5/4
negative reciprocal of -3
1/3
Opposite reciprocal of -5
1/5
The slope of a line passing through (4,6) and (-2,5)
1/6
negative reciprocal of -2/5
5/2
-1/2 and 1/2 are the same slope
False
All lines that intersect are perpendicular
False
1/2x + y = 6 and y = 1/2x +4
Neither Parallel Nor Perpendicular
3x + 4y = 6 and y = -3/4x -4
Parallel Lines
y = 3/4x -2 and y = 3/4x + 5
Parallel Lines
2y = 3x +4 and y = -2/3x -7
Perpendicular Lines
y = -1/3x +2 and y = 3x-6
Perpendicular Lines
(y + 6) = -2(x - 4)
Slope = -2, passes through point (4,-6)
y = -8x + 5
Slope = -8, y intercept = 5
y = 4
Slope = 0, y intercept = 4
(y-4) = 2/3(x + 5)
Slope = 2/3, passes through point (-5,4)
2x - 7y = 35
Slope = 2/7, y intercept = 5
through (0,-2) and (4,1)
Slope = 3/4, y intercept = -2
y = 4/3x + 3
Slope = 4/3, y intercept = 3
3y = 5x -12
Slope = 5/3, y intercept = -4
x = -3
Slope = undefined, y intercept = none
y = 2/3x
Slope of 2/3, y intercept of 0
All vertical and horizontal lines are perpendicular
True
Parallel lines have
equal slopes
Perpendicular lines have
negative reciprocal slopes
-x
same as -1x
x -(-4)
same as x + 4
The point (0,-6) is
the y intercept of -6
The point (0,4) is
the y intercept of 4
vertical lines have
undefined slopes
through (-3,2), parallel to x = 4
x = -3
through (-3,3), perpendicular to y = 1
x = -3
The equation of a vertical line passing through (8,-4)
x = 8
Slope intercept form of equation given a slope of -4 and y-intercept of -2
y = -4x-2
through (-2,2), perpendicular to y = -2x
y = 1/2x + 3
through (4,0), parallel to y = 1/4x -3
y = 1/4x-1
Slope intercept form of equation given a slope of 2/3 and y-intercept of 5
y = 2/3x+5
through (5,4), parallel to y = -3
y = 4
through (-5,2), parallel to y = -4/5x + 4
y=-4/5x -2
The equation of a horizontal line passing through (-2,4)
y=4
horizontal lines have
zero slopes
