Slope of a Line
Find the slope of the line that passes through the pair of points. (3, 5) and (2, 6)
-1
The cost, y of movie tickets varies directly with the number of tickets, x. Each movie ticket costs $8. Write a direct variation equation to represent this relationship.
y=8x
Identify the slope and y-intercept of this equation.
y= 1/2x - 5
Slope: 1/2
Y-intercept: -5
Write the equation of a line in slope-intercept form with the given slope and y-intercept.
Slope: -1/3
Y-intercept: 4
y=-1/3x+4
Find the slope of the line that passes through the pair of points. (-3, 2) and (7, 2)
0
The total number of scarves knitted varies directly with the number of days. Four scarves require 6 days to knit. Write a direct variation equation to represent this relationship.
y=1.5x
Identify the slope and y-intercept of this equation.
y= 3x - 1
Slope: 3
Y-intercept: -1
Write the equation of a line in slope-intercept form with the given slope and y-intercept.
Slope: 3/2
Y-intercept: -3
y=3/2x-3
Find the slope of the line that passes through the pair of points. (-3, 2) and (5, -4)
-3/4
The total number of fence posts Edwin installs varies directly with the number of hours worked. He installs 40 fence posts in 8 hours. Write a direct variation equation to represent this relationship.
y=5x
Identify the slope and y-intercept of this equation.
y= -3/4x - 9
Slope: -3/4
Y-intercept: -9
Write the equation of a line in slope-intercept form with the given slope and y-intercept.
Slope: 4
Y-intercept: -2
y=4x-2
Find the slope of the line that passes through the pair of points. (-7, -1) and (1, 3)
1/2
The total cost of pumpkins varies directly with the number of pumpkins purchased. Two pumpkins cost $7.00. Write a direct variation equation to represent this relationship.
y=3.5x
Identify the slope and y-intercept of this equation.
y= -4/3x + 8
Slope: -4/3
Y-intercept: 8
Write the equation of a line in slope-intercept form with the given slope and y-intercept.
Slope: -1
Y-intercept: 6
y=-x+6
Find the slope of the line that passes through the pair of points. (6, 8) and (6, -2)
Undefined
The amount of shampoo that a pet groomer uses per day varies directly with the number of dogs groomed. The pet groomer uses 26.25 ounces of shampoo per day when 7 dogs need to be groomed. Write a direct variation equation to represent this relationship.
y=3.75x
Identify the slope and y-intercept of this equation.
y = -7
Slope: 0
Y-intercept: -7
Write the equation of a line in slope-intercept form with the given slope and y-intercept.
Slope: 0
Y-intercept: -5
y=-5