Find the slope
What is the slope of the table?
x values: 1, 2, 3, 4
y values: 0, -2, -4, -8
-2
What is point-slope form?
y-y1=m(x-x1)
What is slope-intercept form?
y=mx+b
Two parts:
Parallel lines' slopes are...
and
Perpendicular lines' slopes are...
THE SAME
and
NEGATIVE RECIPROCALS
What is standard form?
Ax+By=C
Find the slope between the two points:
(-1,-7) & (7,-3)
1/2
Write the equation of the line with the slope of 3 and point (3, 5) in point-slope form.
y-5=3(x-3)
Write the equation of the line with a slope of 1/3 and a y-intercept of 1/5.
y=1/3x+1/5
Are the lines parallel, perpendicular, or neither?
y=1/5x+3
y=-5x-3
Perpendicular
Graph 6.5x-4y=52
points (8,0) and (0,-13)
Find the slope between the two points:
(-3/2, 4) & (-5/2, 3/2)
5/2
Graph y-3=1/2(x+1)
Point: (-1, 3)
Slope: 1/2
Write the equation of the line with the slope of 3 and point (3, 5) in slope-intercept form.
y=3x-4
Are the two lines parallel, perpendicular, or neither?
y=2x+3
2x-y=7
Parallel
Carlos and Clarita estimate that cats will require 6 minutes twice a day—morning and evening—to feed and clean their litter boxes, for a total of 12 minutes per day for each cat. Dogs will require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos can spend up to 8 hours each day for the morning and evening feedings but needs the middle of the day off for baseball practice and games.
Write an equation that models how many minutes per day Carlos and Clarita have to spend on feeding and cleaning up after dogs and cats. Let cats be your independent variable and dogs be your dependent variable.
12x+20y=480
What is the slope of the table?
x values: 1, 4, 7, 13
y values: 0, -2, -4, -8
-2/3
Graph: y+5=-(x+4)
Point: (-4, -5)
Slope: -1
Write the equation of the line in slope-intercept form with a slope of 1/2 that passes through the point (6,3).
y=1/2x
Are the two lines parallel, perpendicular, or neither?
y=1/4x+1
3x+12y=36
Neither
Carlos and Clarita estimate that cats will require 6 minutes twice a day—morning and evening—to feed and clean their litter boxes, for a total of 12 minutes per day for each cat. Dogs will require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos can spend up to 8 hours each day for the morning and evening feedings but needs the middle of the day off for baseball practice and games.
Write an equation that models how many hours per day Carlos and Clarita have to spend on feeding and cleaning up after dogs and cats. Let cats be your independent variable and dogs be your dependent variable.
1/5x+1/3y=8
What is the slope of the table?
x values: 1, 4, 7, 10
y values: 0, 1/2, 1, 3/2
1/6
Write the equation of the line in point-slope form that passes through (-2, 7) and (5, 3).
y-7=-4/7(x+2)
OR
y-3=-4/7(x-5)
Write the equation of the line in slope-intercept form with a slope of -1/3 that passes through the point (-5,0).
y=-1/3x-5/3
Write the equation of the line that is perpendicular to the line y=1/2x+1 and passes through the point (5,3). Write your answer in slope-intercept form.
y=-2x+13
Carlos and Clarita estimate that cats will require 6 minutes twice a day—morning and evening—to feed and clean their litter boxes, for a total of 12 minutes per day for each cat. Dogs will require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos can spend up to 8 hours each day for the morning and evening feedings but needs the middle of the day off for baseball practice and games.
Graph an equation that models how many hours per day Carlos and Clarita have to spend on feeding and cleaning up after dogs and cats. Let cats be your independent variable and dogs be your dependent variable.
(0, 24) and (40, 0)