Finding Slope
Point-Slope Form/X-Y Intercepts
Parallel/Perpendicular
Word Problems
Direct/Inverse Variation
100
Find the slope of the line.
y=2/3x-3
2/3
100
Find the x-intercept of the following equation.
y=2/3x-2
x-intercept: (3, 0)
100
Determine if the segments AB and CD are parallel, Perpendicular, or neither.
AB formed by (-15, 8) and (-6, 10)
CD formed by (-8, -7) and (-6, -16)
Perpendicular
100
The late fee for renting a library book is $2.00 plus $0.75 each day that it is late. If Theresa's fee for the late video game was $5.75, write and solve a linear equation to find out how many days late the book was.
y = 0.75x + 2
x = 5 days
100
State if the following equation is direct or inverse.
y=-3/x
Inverse
200
Write the slope-intercept form of the line.
slope = -3. y-intercept = 6
y = -3x + 6
200
Find the y-intercept of the following equation.
3x-4y=24
y-intercept: (0, -6)
200
Determine if the given equations are parallel, perpendicular, or neither.
6x - 4y = 5
y = 3/2x + 9
Parallel
200
The price at a garden was $5 for plants and $13 for trees. On a certain day, $480 was collected. If 31 plants were sold, write and solve a linear equation to find the number of trees sold.
5x + 13y = 480
y = 25 trees
200
State if the following equation is direct or inverse.
y = -1/4x
direct
300
Find the slope of the line.
m = 0
300
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through (4, 5), slope = 6
y = 6x - 19
300
Determine if the given equations are parallel, perpendicular, or neither.
5x + 4y = 15
4x - 5y = -5
Perpendicular
300
Mary is earning, on average, $3 per day. After 14 days, she has $68. Write and solve a linear equation to see how much money she will have after 67 days.
y = 3x + 26
$227
300
State if the following equation is direct or inverse.
6x + 3y = 18
Neither
400
Find the slope of the line through the pair of points.
(1, 1) and (5, -2)
-3/4
400
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through (-6, 8), slope = 1/2
y=1/2x + 11
400
Write the slope-intercept form of the equation of the line described.
Through: (1, 10), parallel to y = 2x - 2
y = 2x + 8
400
Suppose a 5-minute overseas call costs $5.91, and a 10-minute call costs $10.86. Write and solve a linear equation to see how much a 23 minute call costs.
y = 0.99x + 0.96
$23.73
400
If y varies directly as x, and y = 15 when x = 9, find y when x = 3.
y = 5
500
Find the value of x.
(-2, 3) and (x, 8): slope = -5/2
x = -4
500
Write the slope-intercept form of the equation of the line through the given points.
(0, 1) and (3, -2)
y = -x + 1
500
Write the slope-intercept form of the equation of the line described.
Through: (2, 5), perpendicular to y = 2x - 3
y = -1/2x + 6
500
Paul wants to place an ad in the newspaper. The newspaper charges $10 for the first 2 lines, and then $3 for each additional line after that. Write and solve a linear equation to find the cost if Paul's ad is 8 lines long.
y = 3x + 4
$28
500
If y varies inversely as x, and y = 4 when x = 12, find y when x = 2.
y = 24